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Finding the Fourth Proportional to 438.57, 605.00 and 281.12

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Solution

The fourth proportional to 438.57, 605.00 and 281.12 is: 387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.57 : 605.00 = 281.12 : x
  2. Step 2: Convert to fraction form
    438.57/605.00 = 281.12/x
  3. Step 3: Cross multiply
    438.57x = 605.00 × 281.12
  4. Step 4: Simplify right side
    438.57x = 170,075.28
  5. Step 5: Solve for x
    x = 170,075.28/438.57
  6. Step 6: Final answer
    x = 387.80

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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.