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Finding the Fourth Proportional to 514.74, 710.34 and 281.87

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Solution

The fourth proportional to 514.74, 710.34 and 281.87 is: 388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.74 : 710.34 = 281.87 : x
  2. Step 2: Convert to fraction form
    514.74/710.34 = 281.87/x
  3. Step 3: Cross multiply
    514.74x = 710.34 × 281.87
  4. Step 4: Simplify right side
    514.74x = 200,223.54
  5. Step 5: Solve for x
    x = 200,223.54/514.74
  6. Step 6: Final answer
    x = 388.98

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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.