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Finding the Fourth Proportional to 658.08, 987.04 and 202.08

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Solution

The fourth proportional to 658.08, 987.04 and 202.08 is: 303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.08 : 987.04 = 202.08 : x
  2. Step 2: Convert to fraction form
    658.08/987.04 = 202.08/x
  3. Step 3: Cross multiply
    658.08x = 987.04 × 202.08
  4. Step 4: Simplify right side
    658.08x = 199,461.04
  5. Step 5: Solve for x
    x = 199,461.04/658.08
  6. Step 6: Final answer
    x = 303.10

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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.