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Finding the Fourth Proportional to 462.93, 694.64 and 202.92

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Solution

The fourth proportional to 462.93, 694.64 and 202.92 is: 304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.93 : 694.64 = 202.92 : x
  2. Step 2: Convert to fraction form
    462.93/694.64 = 202.92/x
  3. Step 3: Cross multiply
    462.93x = 694.64 × 202.92
  4. Step 4: Simplify right side
    462.93x = 140,956.35
  5. Step 5: Solve for x
    x = 140,956.35/462.93
  6. Step 6: Final answer
    x = 304.49

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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.