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Finding the Fourth Proportional to 616.28, 924.35 and 495.99

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Solution

The fourth proportional to 616.28, 924.35 and 495.99 is: 743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.28 : 924.35 = 495.99 : x
  2. Step 2: Convert to fraction form
    616.28/924.35 = 495.99/x
  3. Step 3: Cross multiply
    616.28x = 924.35 × 495.99
  4. Step 4: Simplify right side
    616.28x = 458,465.88
  5. Step 5: Solve for x
    x = 458,465.88/616.28
  6. Step 6: Final answer
    x = 743.93

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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.