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Finding the Fourth Proportional to 712.38, 982.38 and 472.67

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Solution

The fourth proportional to 712.38, 982.38 and 472.67 is: 651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.38 : 982.38 = 472.67 : x
  2. Step 2: Convert to fraction form
    712.38/982.38 = 472.67/x
  3. Step 3: Cross multiply
    712.38x = 982.38 × 472.67
  4. Step 4: Simplify right side
    712.38x = 464,341.55
  5. Step 5: Solve for x
    x = 464,341.55/712.38
  6. Step 6: Final answer
    x = 651.82

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.