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Finding the Fourth Proportional to 515.72, 771.28 and 458.31

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Solution

The fourth proportional to 515.72, 771.28 and 458.31 is: 685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.72 : 771.28 = 458.31 : x
  2. Step 2: Convert to fraction form
    515.72/771.28 = 458.31/x
  3. Step 3: Cross multiply
    515.72x = 771.28 × 458.31
  4. Step 4: Simplify right side
    515.72x = 353,485.34
  5. Step 5: Solve for x
    x = 353,485.34/515.72
  6. Step 6: Final answer
    x = 685.42

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Why These Related Problems?

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