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Finding the Fourth Proportional to 514.44, 767.52 and 462.24

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Solution

The fourth proportional to 514.44, 767.52 and 462.24 is: 689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.44 : 767.52 = 462.24 : x
  2. Step 2: Convert to fraction form
    514.44/767.52 = 462.24/x
  3. Step 3: Cross multiply
    514.44x = 767.52 × 462.24
  4. Step 4: Simplify right side
    514.44x = 354,778.44
  5. Step 5: Solve for x
    x = 354,778.44/514.44
  6. Step 6: Final answer
    x = 689.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.