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Finding the Fourth Proportional to 616.22, 924.66 and 410.90

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Solution

The fourth proportional to 616.22, 924.66 and 410.90 is: 616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.22 : 924.66 = 410.90 : x
  2. Step 2: Convert to fraction form
    616.22/924.66 = 410.90/x
  3. Step 3: Cross multiply
    616.22x = 924.66 × 410.90
  4. Step 4: Simplify right side
    616.22x = 379,942.79
  5. Step 5: Solve for x
    x = 379,942.79/616.22
  6. Step 6: Final answer
    x = 616.57

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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.