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Finding the Fourth Proportional to 514.38, 770.55 and 472.38

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Solution

The fourth proportional to 514.38, 770.55 and 472.38 is: 707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.38 : 770.55 = 472.38 : x
  2. Step 2: Convert to fraction form
    514.38/770.55 = 472.38/x
  3. Step 3: Cross multiply
    514.38x = 770.55 × 472.38
  4. Step 4: Simplify right side
    514.38x = 363,992.41
  5. Step 5: Solve for x
    x = 363,992.41/514.38
  6. Step 6: Final answer
    x = 707.63

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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.