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Finding the Fourth Proportional to 616.17, 924.15 and 205.59

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Solution

The fourth proportional to 616.17, 924.15 and 205.59 is: 308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.17 : 924.15 = 205.59 : x
  2. Step 2: Convert to fraction form
    616.17/924.15 = 205.59/x
  3. Step 3: Cross multiply
    616.17x = 924.15 × 205.59
  4. Step 4: Simplify right side
    616.17x = 189,996.00
  5. Step 5: Solve for x
    x = 189,996.00/616.17
  6. Step 6: Final answer
    x = 308.35

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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.