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Finding the Fourth Proportional to 712.04, 982.28 and 417.13

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Solution

The fourth proportional to 712.04, 982.28 and 417.13 is: 575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.04 : 982.28 = 417.13 : x
  2. Step 2: Convert to fraction form
    712.04/982.28 = 417.13/x
  3. Step 3: Cross multiply
    712.04x = 982.28 × 417.13
  4. Step 4: Simplify right side
    712.04x = 409,738.46
  5. Step 5: Solve for x
    x = 409,738.46/712.04
  6. Step 6: Final answer
    x = 575.44

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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.