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Finding the Fourth Proportional to 654.14, 903.15 and 405.81

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Solution

The fourth proportional to 654.14, 903.15 and 405.81 is: 560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.14 : 903.15 = 405.81 : x
  2. Step 2: Convert to fraction form
    654.14/903.15 = 405.81/x
  3. Step 3: Cross multiply
    654.14x = 903.15 × 405.81
  4. Step 4: Simplify right side
    654.14x = 366,507.30
  5. Step 5: Solve for x
    x = 366,507.30/654.14
  6. Step 6: Final answer
    x = 560.29

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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.