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Finding the Fourth Proportional to 501.42, 691.85 and 280.32

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Solution

The fourth proportional to 501.42, 691.85 and 280.32 is: 386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.42 : 691.85 = 280.32 : x
  2. Step 2: Convert to fraction form
    501.42/691.85 = 280.32/x
  3. Step 3: Cross multiply
    501.42x = 691.85 × 280.32
  4. Step 4: Simplify right side
    501.42x = 193,939.39
  5. Step 5: Solve for x
    x = 193,939.39/501.42
  6. Step 6: Final answer
    x = 386.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.