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Finding the Fourth Proportional to 616.92, 924.12 and 327.84

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Solution

The fourth proportional to 616.92, 924.12 and 327.84 is: 491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.92 : 924.12 = 327.84 : x
  2. Step 2: Convert to fraction form
    616.92/924.12 = 327.84/x
  3. Step 3: Cross multiply
    616.92x = 924.12 × 327.84
  4. Step 4: Simplify right side
    616.92x = 302,963.50
  5. Step 5: Solve for x
    x = 302,963.50/616.92
  6. Step 6: Final answer
    x = 491.09

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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.