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Finding the Fourth Proportional to 462.92, 693.77 and 287.15

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Solution

The fourth proportional to 462.92, 693.77 and 287.15 is: 430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.92 : 693.77 = 287.15 : x
  2. Step 2: Convert to fraction form
    462.92/693.77 = 287.15/x
  3. Step 3: Cross multiply
    462.92x = 693.77 × 287.15
  4. Step 4: Simplify right side
    462.92x = 199,211.15
  5. Step 5: Solve for x
    x = 199,211.15/462.92
  6. Step 6: Final answer
    x = 430.34

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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.