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Finding the Fourth Proportional to 512.71, 771.65 and 462.40

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Solution

The fourth proportional to 512.71, 771.65 and 462.40 is: 695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.71 : 771.65 = 462.40 : x
  2. Step 2: Convert to fraction form
    512.71/771.65 = 462.40/x
  3. Step 3: Cross multiply
    512.71x = 771.65 × 462.40
  4. Step 4: Simplify right side
    512.71x = 356,810.96
  5. Step 5: Solve for x
    x = 356,810.96/512.71
  6. Step 6: Final answer
    x = 695.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.