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Finding the Fourth Proportional to 514.24, 771.62 and 352.04

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Solution

The fourth proportional to 514.24, 771.62 and 352.04 is: 528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.24 : 771.62 = 352.04 : x
  2. Step 2: Convert to fraction form
    514.24/771.62 = 352.04/x
  3. Step 3: Cross multiply
    514.24x = 771.62 × 352.04
  4. Step 4: Simplify right side
    514.24x = 271,641.10
  5. Step 5: Solve for x
    x = 271,641.10/514.24
  6. Step 6: Final answer
    x = 528.24

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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.