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Finding the Fourth Proportional to 513.42, 767.62 and 437.28

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Solution

The fourth proportional to 513.42, 767.62 and 437.28 is: 653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.42 : 767.62 = 437.28 : x
  2. Step 2: Convert to fraction form
    513.42/767.62 = 437.28/x
  3. Step 3: Cross multiply
    513.42x = 767.62 × 437.28
  4. Step 4: Simplify right side
    513.42x = 335,664.87
  5. Step 5: Solve for x
    x = 335,664.87/513.42
  6. Step 6: Final answer
    x = 653.78

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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.