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Finding the Fourth Proportional to 658.84, 986.99 and 384.37

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Solution

The fourth proportional to 658.84, 986.99 and 384.37 is: 575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.84 : 986.99 = 384.37 : x
  2. Step 2: Convert to fraction form
    658.84/986.99 = 384.37/x
  3. Step 3: Cross multiply
    658.84x = 986.99 × 384.37
  4. Step 4: Simplify right side
    658.84x = 379,369.35
  5. Step 5: Solve for x
    x = 379,369.35/658.84
  6. Step 6: Final answer
    x = 575.81

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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.