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Finding the Fourth Proportional to 654.96, 903.56 and 406.10

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Solution

The fourth proportional to 654.96, 903.56 and 406.10 is: 560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.96 : 903.56 = 406.10 : x
  2. Step 2: Convert to fraction form
    654.96/903.56 = 406.10/x
  3. Step 3: Cross multiply
    654.96x = 903.56 × 406.10
  4. Step 4: Simplify right side
    654.96x = 366,935.72
  5. Step 5: Solve for x
    x = 366,935.72/654.96
  6. Step 6: Final answer
    x = 560.24

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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.