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Finding the Fourth Proportional to 514.72, 772.36 and 341.47

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Solution

The fourth proportional to 514.72, 772.36 and 341.47 is: 512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.72 : 772.36 = 341.47 : x
  2. Step 2: Convert to fraction form
    514.72/772.36 = 341.47/x
  3. Step 3: Cross multiply
    514.72x = 772.36 × 341.47
  4. Step 4: Simplify right side
    514.72x = 263,737.76
  5. Step 5: Solve for x
    x = 263,737.76/514.72
  6. Step 6: Final answer
    x = 512.39

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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.