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Finding the Fourth Proportional to 462.18, 693.03 and 202.02

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Solution

The fourth proportional to 462.18, 693.03 and 202.02 is: 302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.18 : 693.03 = 202.02 : x
  2. Step 2: Convert to fraction form
    462.18/693.03 = 202.02/x
  3. Step 3: Cross multiply
    462.18x = 693.03 × 202.02
  4. Step 4: Simplify right side
    462.18x = 140,005.92
  5. Step 5: Solve for x
    x = 140,005.92/462.18
  6. Step 6: Final answer
    x = 302.93

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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.