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Finding the Fourth Proportional to 642.66, 965.15 and 334.73

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Solution

The fourth proportional to 642.66, 965.15 and 334.73 is: 502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.66 : 965.15 = 334.73 : x
  2. Step 2: Convert to fraction form
    642.66/965.15 = 334.73/x
  3. Step 3: Cross multiply
    642.66x = 965.15 × 334.73
  4. Step 4: Simplify right side
    642.66x = 323,058.16
  5. Step 5: Solve for x
    x = 323,058.16/642.66
  6. Step 6: Final answer
    x = 502.69

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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.