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Finding the Fourth Proportional to 616.20, 924.09 and 442.35

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Solution

The fourth proportional to 616.20, 924.09 and 442.35 is: 663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.20 : 924.09 = 442.35 : x
  2. Step 2: Convert to fraction form
    616.20/924.09 = 442.35/x
  3. Step 3: Cross multiply
    616.20x = 924.09 × 442.35
  4. Step 4: Simplify right side
    616.20x = 408,777.06
  5. Step 5: Solve for x
    x = 408,777.06/616.20
  6. Step 6: Final answer
    x = 663.38

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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.