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Finding the Fourth Proportional to 616.95, 924.61 and 471.96

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Solution

The fourth proportional to 616.95, 924.61 and 471.96 is: 707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.95 : 924.61 = 471.96 : x
  2. Step 2: Convert to fraction form
    616.95/924.61 = 471.96/x
  3. Step 3: Cross multiply
    616.95x = 924.61 × 471.96
  4. Step 4: Simplify right side
    616.95x = 436,371.95
  5. Step 5: Solve for x
    x = 436,371.95/616.95
  6. Step 6: Final answer
    x = 707.31

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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.