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Finding the Fourth Proportional to 438.40, 605.10 and 409.24

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Solution

The fourth proportional to 438.40, 605.10 and 409.24 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.40 : 605.10 = 409.24 : x
  2. Step 2: Convert to fraction form
    438.40/605.10 = 409.24/x
  3. Step 3: Cross multiply
    438.40x = 605.10 × 409.24
  4. Step 4: Simplify right side
    438.40x = 247,631.12
  5. Step 5: Solve for x
    x = 247,631.12/438.40
  6. Step 6: Final answer
    x = 564.85

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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.