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Finding the Fourth Proportional to 658.67, 988.00 and 293.36

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Solution

The fourth proportional to 658.67, 988.00 and 293.36 is: 440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.67 : 988.00 = 293.36 : x
  2. Step 2: Convert to fraction form
    658.67/988.00 = 293.36/x
  3. Step 3: Cross multiply
    658.67x = 988.00 × 293.36
  4. Step 4: Simplify right side
    658.67x = 289,834.01
  5. Step 5: Solve for x
    x = 289,834.01/658.67
  6. Step 6: Final answer
    x = 440.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.