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Finding the Fourth Proportional to 616.23, 924.33 and 507.78

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Solution

The fourth proportional to 616.23, 924.33 and 507.78 is: 761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.23 : 924.33 = 507.78 : x
  2. Step 2: Convert to fraction form
    616.23/924.33 = 507.78/x
  3. Step 3: Cross multiply
    616.23x = 924.33 × 507.78
  4. Step 4: Simplify right side
    616.23x = 469,356.29
  5. Step 5: Solve for x
    x = 469,356.29/616.23
  6. Step 6: Final answer
    x = 761.66

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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.