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Finding the Fourth Proportional to 616.18, 924.02 and 205.24

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Solution

The fourth proportional to 616.18, 924.02 and 205.24 is: 307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.18 : 924.02 = 205.24 : x
  2. Step 2: Convert to fraction form
    616.18/924.02 = 205.24/x
  3. Step 3: Cross multiply
    616.18x = 924.02 × 205.24
  4. Step 4: Simplify right side
    616.18x = 189,645.86
  5. Step 5: Solve for x
    x = 189,645.86/616.18
  6. Step 6: Final answer
    x = 307.78

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Double scale
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Similar ratio
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1.5x scale

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.