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Finding the Fourth Proportional to 654.68, 902.99 and 406.12

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Solution

The fourth proportional to 654.68, 902.99 and 406.12 is: 560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.68 : 902.99 = 406.12 : x
  2. Step 2: Convert to fraction form
    654.68/902.99 = 406.12/x
  3. Step 3: Cross multiply
    654.68x = 902.99 × 406.12
  4. Step 4: Simplify right side
    654.68x = 366,722.30
  5. Step 5: Solve for x
    x = 366,722.30/654.68
  6. Step 6: Final answer
    x = 560.16

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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.