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Finding the Fourth Proportional to 452.80, 625.14 and 328.26

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Solution

The fourth proportional to 452.80, 625.14 and 328.26 is: 453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.80 : 625.14 = 328.26 : x
  2. Step 2: Convert to fraction form
    452.80/625.14 = 328.26/x
  3. Step 3: Cross multiply
    452.80x = 625.14 × 328.26
  4. Step 4: Simplify right side
    452.80x = 205,208.46
  5. Step 5: Solve for x
    x = 205,208.46/452.80
  6. Step 6: Final answer
    x = 453.20

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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.