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Finding the Fourth Proportional to 712.66, 983.46 and 417.94

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Solution

The fourth proportional to 712.66, 983.46 and 417.94 is: 576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.66 : 983.46 = 417.94 : x
  2. Step 2: Convert to fraction form
    712.66/983.46 = 417.94/x
  3. Step 3: Cross multiply
    712.66x = 983.46 × 417.94
  4. Step 4: Simplify right side
    712.66x = 411,027.27
  5. Step 5: Solve for x
    x = 411,027.27/712.66
  6. Step 6: Final answer
    x = 576.75

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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.