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Finding the Fourth Proportional to 452.88, 625.04 and 256.41

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Solution

The fourth proportional to 452.88, 625.04 and 256.41 is: 353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.88 : 625.04 = 256.41 : x
  2. Step 2: Convert to fraction form
    452.88/625.04 = 256.41/x
  3. Step 3: Cross multiply
    452.88x = 625.04 × 256.41
  4. Step 4: Simplify right side
    452.88x = 160,265.22
  5. Step 5: Solve for x
    x = 160,265.22/452.88
  6. Step 6: Final answer
    x = 353.88

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