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Finding the Fourth Proportional to 518.72, 775.68 and 507.20

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Solution

The fourth proportional to 518.72, 775.68 and 507.20 is: 758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.72 : 775.68 = 507.20 : x
  2. Step 2: Convert to fraction form
    518.72/775.68 = 507.20/x
  3. Step 3: Cross multiply
    518.72x = 775.68 × 507.20
  4. Step 4: Simplify right side
    518.72x = 393,424.90
  5. Step 5: Solve for x
    x = 393,424.90/518.72
  6. Step 6: Final answer
    x = 758.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.