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Finding the Fourth Proportional to 658.81, 987.70 and 312.29

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Solution

The fourth proportional to 658.81, 987.70 and 312.29 is: 468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.81 : 987.70 = 312.29 : x
  2. Step 2: Convert to fraction form
    658.81/987.70 = 312.29/x
  3. Step 3: Cross multiply
    658.81x = 987.70 × 312.29
  4. Step 4: Simplify right side
    658.81x = 308,448.83
  5. Step 5: Solve for x
    x = 308,448.83/658.81
  6. Step 6: Final answer
    x = 468.19

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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.