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Finding the Fourth Proportional to 438.22, 656.47 and 264.93

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Solution

The fourth proportional to 438.22, 656.47 and 264.93 is: 396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.22 : 656.47 = 264.93 : x
  2. Step 2: Convert to fraction form
    438.22/656.47 = 264.93/x
  3. Step 3: Cross multiply
    438.22x = 656.47 × 264.93
  4. Step 4: Simplify right side
    438.22x = 173,918.60
  5. Step 5: Solve for x
    x = 173,918.60/438.22
  6. Step 6: Final answer
    x = 396.88

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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.