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Finding the Fourth Proportional to 519.72, 717 and 372.06

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Solution

The fourth proportional to 519.72, 717 and 372.06 is: 513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 717 = 372.06 : x
  2. Step 2: Convert to fraction form
    519.72/717 = 372.06/x
  3. Step 3: Cross multiply
    519.72x = 717 × 372.06
  4. Step 4: Simplify right side
    519.72x = 266,767.02
  5. Step 5: Solve for x
    x = 266,767.02/519.72
  6. Step 6: Final answer
    x = 513.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.