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Finding the Fourth Proportional to 438.15, 605.28 and 341.16

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Solution

The fourth proportional to 438.15, 605.28 and 341.16 is: 471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.15 : 605.28 = 341.16 : x
  2. Step 2: Convert to fraction form
    438.15/605.28 = 341.16/x
  3. Step 3: Cross multiply
    438.15x = 605.28 × 341.16
  4. Step 4: Simplify right side
    438.15x = 206,497.32
  5. Step 5: Solve for x
    x = 206,497.32/438.15
  6. Step 6: Final answer
    x = 471.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.