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Finding the Fourth Proportional to 658.53, 986.49 and 384.08

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Solution

The fourth proportional to 658.53, 986.49 and 384.08 is: 575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.53 : 986.49 = 384.08 : x
  2. Step 2: Convert to fraction form
    658.53/986.49 = 384.08/x
  3. Step 3: Cross multiply
    658.53x = 986.49 × 384.08
  4. Step 4: Simplify right side
    658.53x = 378,886.15
  5. Step 5: Solve for x
    x = 378,886.15/658.53
  6. Step 6: Final answer
    x = 575.35

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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.