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Finding the Fourth Proportional to 654.17, 902.50 and 457.94

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Solution

The fourth proportional to 654.17, 902.50 and 457.94 is: 631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.17 : 902.50 = 457.94 : x
  2. Step 2: Convert to fraction form
    654.17/902.50 = 457.94/x
  3. Step 3: Cross multiply
    654.17x = 902.50 × 457.94
  4. Step 4: Simplify right side
    654.17x = 413,291.96
  5. Step 5: Solve for x
    x = 413,291.96/654.17
  6. Step 6: Final answer
    x = 631.79

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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.