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Finding the Fourth Proportional to 618.57, 928.16 and 437.13

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Solution

The fourth proportional to 618.57, 928.16 and 437.13 is: 655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.57 : 928.16 = 437.13 : x
  2. Step 2: Convert to fraction form
    618.57/928.16 = 437.13/x
  3. Step 3: Cross multiply
    618.57x = 928.16 × 437.13
  4. Step 4: Simplify right side
    618.57x = 405,726.58
  5. Step 5: Solve for x
    x = 405,726.58/618.57
  6. Step 6: Final answer
    x = 655.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.