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Finding the Fourth Proportional to 511.18, 767.32 and 280.53

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Solution

The fourth proportional to 511.18, 767.32 and 280.53 is: 421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.18 : 767.32 = 280.53 : x
  2. Step 2: Convert to fraction form
    511.18/767.32 = 280.53/x
  3. Step 3: Cross multiply
    511.18x = 767.32 × 280.53
  4. Step 4: Simplify right side
    511.18x = 215,255.58
  5. Step 5: Solve for x
    x = 215,255.58/511.18
  6. Step 6: Final answer
    x = 421.10

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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.