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Finding the Fourth Proportional to 438.74, 658.35 and 246.26

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Solution

The fourth proportional to 438.74, 658.35 and 246.26 is: 369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.74 : 658.35 = 246.26 : x
  2. Step 2: Convert to fraction form
    438.74/658.35 = 246.26/x
  3. Step 3: Cross multiply
    438.74x = 658.35 × 246.26
  4. Step 4: Simplify right side
    438.74x = 162,125.27
  5. Step 5: Solve for x
    x = 162,125.27/438.74
  6. Step 6: Final answer
    x = 369.52

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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.