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Finding the Fourth Proportional to 501.42, 691.88 and 280.34

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Solution

The fourth proportional to 501.42, 691.88 and 280.34 is: 386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.42 : 691.88 = 280.34 : x
  2. Step 2: Convert to fraction form
    501.42/691.88 = 280.34/x
  3. Step 3: Cross multiply
    501.42x = 691.88 × 280.34
  4. Step 4: Simplify right side
    501.42x = 193,961.64
  5. Step 5: Solve for x
    x = 193,961.64/501.42
  6. Step 6: Final answer
    x = 386.82

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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.