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Finding the Fourth Proportional to 658.93, 988.06 and 312.19

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Solution

The fourth proportional to 658.93, 988.06 and 312.19 is: 468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.93 : 988.06 = 312.19 : x
  2. Step 2: Convert to fraction form
    658.93/988.06 = 312.19/x
  3. Step 3: Cross multiply
    658.93x = 988.06 × 312.19
  4. Step 4: Simplify right side
    658.93x = 308,462.45
  5. Step 5: Solve for x
    x = 308,462.45/658.93
  6. Step 6: Final answer
    x = 468.13

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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.