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Finding the Fourth Proportional to 411.47, 567.25 and 254.00

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Solution

The fourth proportional to 411.47, 567.25 and 254.00 is: 350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.47 : 567.25 = 254.00 : x
  2. Step 2: Convert to fraction form
    411.47/567.25 = 254.00/x
  3. Step 3: Cross multiply
    411.47x = 567.25 × 254.00
  4. Step 4: Simplify right side
    411.47x = 144,082.28
  5. Step 5: Solve for x
    x = 144,082.28/411.47
  6. Step 6: Final answer
    x = 350.16

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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.