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Finding the Fourth Proportional to 501.21, 691.70 and 280.14

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Solution

The fourth proportional to 501.21, 691.70 and 280.14 is: 386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.21 : 691.70 = 280.14 : x
  2. Step 2: Convert to fraction form
    501.21/691.70 = 280.14/x
  3. Step 3: Cross multiply
    501.21x = 691.70 × 280.14
  4. Step 4: Simplify right side
    501.21x = 193,771.44
  5. Step 5: Solve for x
    x = 193,771.44/501.21
  6. Step 6: Final answer
    x = 386.61

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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.