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Finding the Fourth Proportional to 410.56, 567.13 and 328.25

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Solution

The fourth proportional to 410.56, 567.13 and 328.25 is: 453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.56 : 567.13 = 328.25 : x
  2. Step 2: Convert to fraction form
    410.56/567.13 = 328.25/x
  3. Step 3: Cross multiply
    410.56x = 567.13 × 328.25
  4. Step 4: Simplify right side
    410.56x = 186,158.18
  5. Step 5: Solve for x
    x = 186,158.18/410.56
  6. Step 6: Final answer
    x = 453.43

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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.