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Finding the Fourth Proportional to 616.75, 925.33 and 385.36

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Solution

The fourth proportional to 616.75, 925.33 and 385.36 is: 578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.75 : 925.33 = 385.36 : x
  2. Step 2: Convert to fraction form
    616.75/925.33 = 385.36/x
  3. Step 3: Cross multiply
    616.75x = 925.33 × 385.36
  4. Step 4: Simplify right side
    616.75x = 356,581.89
  5. Step 5: Solve for x
    x = 356,581.89/616.75
  6. Step 6: Final answer
    x = 578.17

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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.