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Finding the Fourth Proportional to 462.41, 694.16 and 188.72

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Solution

The fourth proportional to 462.41, 694.16 and 188.72 is: 283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.41 : 694.16 = 188.72 : x
  2. Step 2: Convert to fraction form
    462.41/694.16 = 188.72/x
  3. Step 3: Cross multiply
    462.41x = 694.16 × 188.72
  4. Step 4: Simplify right side
    462.41x = 130,997.46
  5. Step 5: Solve for x
    x = 130,997.46/462.41
  6. Step 6: Final answer
    x = 283.30

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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.