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Finding the Fourth Proportional to 616.46, 923.28 and 507.14

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Solution

The fourth proportional to 616.46, 923.28 and 507.14 is: 759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.46 : 923.28 = 507.14 : x
  2. Step 2: Convert to fraction form
    616.46/923.28 = 507.14/x
  3. Step 3: Cross multiply
    616.46x = 923.28 × 507.14
  4. Step 4: Simplify right side
    616.46x = 468,232.22
  5. Step 5: Solve for x
    x = 468,232.22/616.46
  6. Step 6: Final answer
    x = 759.55

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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.