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Finding the Fourth Proportional to 438.14, 604.45 and 280.75

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Solution

The fourth proportional to 438.14, 604.45 and 280.75 is: 387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.14 : 604.45 = 280.75 : x
  2. Step 2: Convert to fraction form
    438.14/604.45 = 280.75/x
  3. Step 3: Cross multiply
    438.14x = 604.45 × 280.75
  4. Step 4: Simplify right side
    438.14x = 169,699.34
  5. Step 5: Solve for x
    x = 169,699.34/438.14
  6. Step 6: Final answer
    x = 387.32

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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.