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Finding the Fourth Proportional to 438.12, 656.51 and 221.58

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Solution

The fourth proportional to 438.12, 656.51 and 221.58 is: 332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.12 : 656.51 = 221.58 : x
  2. Step 2: Convert to fraction form
    438.12/656.51 = 221.58/x
  3. Step 3: Cross multiply
    438.12x = 656.51 × 221.58
  4. Step 4: Simplify right side
    438.12x = 145,468.38
  5. Step 5: Solve for x
    x = 145,468.38/438.12
  6. Step 6: Final answer
    x = 332.03

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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.