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Finding the Fourth Proportional to 517.48, 714.12 and 281.42

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Solution

The fourth proportional to 517.48, 714.12 and 281.42 is: 388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.48 : 714.12 = 281.42 : x
  2. Step 2: Convert to fraction form
    517.48/714.12 = 281.42/x
  3. Step 3: Cross multiply
    517.48x = 714.12 × 281.42
  4. Step 4: Simplify right side
    517.48x = 200,967.65
  5. Step 5: Solve for x
    x = 200,967.65/517.48
  6. Step 6: Final answer
    x = 388.36

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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.