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Finding the Fourth Proportional to 712.41, 983.09 and 417.66

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Solution

The fourth proportional to 712.41, 983.09 and 417.66 is: 576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.41 : 983.09 = 417.66 : x
  2. Step 2: Convert to fraction form
    712.41/983.09 = 417.66/x
  3. Step 3: Cross multiply
    712.41x = 983.09 × 417.66
  4. Step 4: Simplify right side
    712.41x = 410,592.38
  5. Step 5: Solve for x
    x = 410,592.38/712.41
  6. Step 6: Final answer
    x = 576.34

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Half scale
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Double scale
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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.