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Finding the Fourth Proportional to 438.62, 658.53 and 377.87

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Solution

The fourth proportional to 438.62, 658.53 and 377.87 is: 567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.62 : 658.53 = 377.87 : x
  2. Step 2: Convert to fraction form
    438.62/658.53 = 377.87/x
  3. Step 3: Cross multiply
    438.62x = 658.53 × 377.87
  4. Step 4: Simplify right side
    438.62x = 248,835.44
  5. Step 5: Solve for x
    x = 248,835.44/438.62
  6. Step 6: Final answer
    x = 567.32

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Why These Related Problems?

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