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Finding the Fourth Proportional to 462.38, 693.77 and 218.90

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Solution

The fourth proportional to 462.38, 693.77 and 218.90 is: 328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.38 : 693.77 = 218.90 : x
  2. Step 2: Convert to fraction form
    462.38/693.77 = 218.90/x
  3. Step 3: Cross multiply
    462.38x = 693.77 × 218.90
  4. Step 4: Simplify right side
    462.38x = 151,866.89
  5. Step 5: Solve for x
    x = 151,866.89/462.38
  6. Step 6: Final answer
    x = 328.45

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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.