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Finding the Fourth Proportional to 519.74, 716.42 and 372.18

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Solution

The fourth proportional to 519.74, 716.42 and 372.18 is: 513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.74 : 716.42 = 372.18 : x
  2. Step 2: Convert to fraction form
    519.74/716.42 = 372.18/x
  3. Step 3: Cross multiply
    519.74x = 716.42 × 372.18
  4. Step 4: Simplify right side
    519.74x = 266,637.20
  5. Step 5: Solve for x
    x = 266,637.20/519.74
  6. Step 6: Final answer
    x = 513.02

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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.