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Finding the Fourth Proportional to 618.32, 927.96 and 497.68

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Solution

The fourth proportional to 618.32, 927.96 and 497.68 is: 746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.32 : 927.96 = 497.68 : x
  2. Step 2: Convert to fraction form
    618.32/927.96 = 497.68/x
  3. Step 3: Cross multiply
    618.32x = 927.96 × 497.68
  4. Step 4: Simplify right side
    618.32x = 461,827.13
  5. Step 5: Solve for x
    x = 461,827.13/618.32
  6. Step 6: Final answer
    x = 746.91

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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.