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Finding the Fourth Proportional to 616.30, 924.45 and 545.02

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Solution

The fourth proportional to 616.30, 924.45 and 545.02 is: 817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.30 : 924.45 = 545.02 : x
  2. Step 2: Convert to fraction form
    616.30/924.45 = 545.02/x
  3. Step 3: Cross multiply
    616.30x = 924.45 × 545.02
  4. Step 4: Simplify right side
    616.30x = 503,843.74
  5. Step 5: Solve for x
    x = 503,843.74/616.30
  6. Step 6: Final answer
    x = 817.53

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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.