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Finding the Fourth Proportional to 658.94, 988.04 and 414.94

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Solution

The fourth proportional to 658.94, 988.04 and 414.94 is: 622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.94 : 988.04 = 414.94 : x
  2. Step 2: Convert to fraction form
    658.94/988.04 = 414.94/x
  3. Step 3: Cross multiply
    658.94x = 988.04 × 414.94
  4. Step 4: Simplify right side
    658.94x = 409,972.77
  5. Step 5: Solve for x
    x = 409,972.77/658.94
  6. Step 6: Final answer
    x = 622.17

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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.