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Finding the Fourth Proportional to 654.52, 903.13 and 370.96

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Solution

The fourth proportional to 654.52, 903.13 and 370.96 is: 511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.52 : 903.13 = 370.96 : x
  2. Step 2: Convert to fraction form
    654.52/903.13 = 370.96/x
  3. Step 3: Cross multiply
    654.52x = 903.13 × 370.96
  4. Step 4: Simplify right side
    654.52x = 335,025.10
  5. Step 5: Solve for x
    x = 335,025.10/654.52
  6. Step 6: Final answer
    x = 511.86

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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.