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Finding the Fourth Proportional to 616.25, 924.14 and 226.17

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Solution

The fourth proportional to 616.25, 924.14 and 226.17 is: 339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.25 : 924.14 = 226.17 : x
  2. Step 2: Convert to fraction form
    616.25/924.14 = 226.17/x
  3. Step 3: Cross multiply
    616.25x = 924.14 × 226.17
  4. Step 4: Simplify right side
    616.25x = 209,013.31
  5. Step 5: Solve for x
    x = 209,013.31/616.25
  6. Step 6: Final answer
    x = 339.17

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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.