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Finding the Fourth Proportional to 514.61, 770.69 and 397.97

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Solution

The fourth proportional to 514.61, 770.69 and 397.97 is: 596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.61 : 770.69 = 397.97 : x
  2. Step 2: Convert to fraction form
    514.61/770.69 = 397.97/x
  3. Step 3: Cross multiply
    514.61x = 770.69 × 397.97
  4. Step 4: Simplify right side
    514.61x = 306,711.50
  5. Step 5: Solve for x
    x = 306,711.50/514.61
  6. Step 6: Final answer
    x = 596.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.