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Finding the Fourth Proportional to 712.60, 983.52 and 417.94

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Solution

The fourth proportional to 712.60, 983.52 and 417.94 is: 576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.60 : 983.52 = 417.94 : x
  2. Step 2: Convert to fraction form
    712.60/983.52 = 417.94/x
  3. Step 3: Cross multiply
    712.60x = 983.52 × 417.94
  4. Step 4: Simplify right side
    712.60x = 411,052.35
  5. Step 5: Solve for x
    x = 411,052.35/712.60
  6. Step 6: Final answer
    x = 576.83

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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.