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Finding the Fourth Proportional to 501.24, 691.74 and 280.20

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Solution

The fourth proportional to 501.24, 691.74 and 280.20 is: 386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.24 : 691.74 = 280.20 : x
  2. Step 2: Convert to fraction form
    501.24/691.74 = 280.20/x
  3. Step 3: Cross multiply
    501.24x = 691.74 × 280.20
  4. Step 4: Simplify right side
    501.24x = 193,825.55
  5. Step 5: Solve for x
    x = 193,825.55/501.24
  6. Step 6: Final answer
    x = 386.69

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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.