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Finding the Fourth Proportional to 518.52, 775.48 and 464.04

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Solution

The fourth proportional to 518.52, 775.48 and 464.04 is: 694.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.52 : 775.48 = 464.04 : x
  2. Step 2: Convert to fraction form
    518.52/775.48 = 464.04/x
  3. Step 3: Cross multiply
    518.52x = 775.48 × 464.04
  4. Step 4: Simplify right side
    518.52x = 359,853.74
  5. Step 5: Solve for x
    x = 359,853.74/518.52
  6. Step 6: Final answer
    x = 694.00

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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.