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Finding the Fourth Proportional to 438.58, 658.29 and 276.37

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Solution

The fourth proportional to 438.58, 658.29 and 276.37 is: 414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.58 : 658.29 = 276.37 : x
  2. Step 2: Convert to fraction form
    438.58/658.29 = 276.37/x
  3. Step 3: Cross multiply
    438.58x = 658.29 × 276.37
  4. Step 4: Simplify right side
    438.58x = 181,931.61
  5. Step 5: Solve for x
    x = 181,931.61/438.58
  6. Step 6: Final answer
    x = 414.82

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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.