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Finding the Fourth Proportional to 514.39, 710.19 and 396.13

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Solution

The fourth proportional to 514.39, 710.19 and 396.13 is: 546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.39 : 710.19 = 396.13 : x
  2. Step 2: Convert to fraction form
    514.39/710.19 = 396.13/x
  3. Step 3: Cross multiply
    514.39x = 710.19 × 396.13
  4. Step 4: Simplify right side
    514.39x = 281,327.56
  5. Step 5: Solve for x
    x = 281,327.56/514.39
  6. Step 6: Final answer
    x = 546.91

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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.