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Finding the Fourth Proportional to 462.68, 694.34 and 202.68

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Solution

The fourth proportional to 462.68, 694.34 and 202.68 is: 304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.68 : 694.34 = 202.68 : x
  2. Step 2: Convert to fraction form
    462.68/694.34 = 202.68/x
  3. Step 3: Cross multiply
    462.68x = 694.34 × 202.68
  4. Step 4: Simplify right side
    462.68x = 140,728.83
  5. Step 5: Solve for x
    x = 140,728.83/462.68
  6. Step 6: Final answer
    x = 304.16

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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.