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Finding the Fourth Proportional to 307.31, 461.10 and 294.71

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Solution

The fourth proportional to 307.31, 461.10 and 294.71 is: 442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.31 : 461.10 = 294.71 : x
  2. Step 2: Convert to fraction form
    307.31/461.10 = 294.71/x
  3. Step 3: Cross multiply
    307.31x = 461.10 × 294.71
  4. Step 4: Simplify right side
    307.31x = 135,890.78
  5. Step 5: Solve for x
    x = 135,890.78/307.31
  6. Step 6: Final answer
    x = 442.19

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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.