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Finding the Fourth Proportional to 519.72, 716.23 and 372.10

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Solution

The fourth proportional to 519.72, 716.23 and 372.10 is: 512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 716.23 = 372.10 : x
  2. Step 2: Convert to fraction form
    519.72/716.23 = 372.10/x
  3. Step 3: Cross multiply
    519.72x = 716.23 × 372.10
  4. Step 4: Simplify right side
    519.72x = 266,506.89
  5. Step 5: Solve for x
    x = 266,506.89/519.72
  6. Step 6: Final answer
    x = 512.79

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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.