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Finding the Fourth Proportional to 438.26, 604.56 and 288.80

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Solution

The fourth proportional to 438.26, 604.56 and 288.80 is: 398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.26 : 604.56 = 288.80 : x
  2. Step 2: Convert to fraction form
    438.26/604.56 = 288.80/x
  3. Step 3: Cross multiply
    438.26x = 604.56 × 288.80
  4. Step 4: Simplify right side
    438.26x = 174,596.93
  5. Step 5: Solve for x
    x = 174,596.93/438.26
  6. Step 6: Final answer
    x = 398.39

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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.