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Finding the Fourth Proportional to 511.46, 767.45 and 237.47

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Solution

The fourth proportional to 511.46, 767.45 and 237.47 is: 356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.46 : 767.45 = 237.47 : x
  2. Step 2: Convert to fraction form
    511.46/767.45 = 237.47/x
  3. Step 3: Cross multiply
    511.46x = 767.45 × 237.47
  4. Step 4: Simplify right side
    511.46x = 182,248.86
  5. Step 5: Solve for x
    x = 182,248.86/511.46
  6. Step 6: Final answer
    x = 356.33

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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.