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Finding the Fourth Proportional to 411.24, 567.46 and 256.04

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Solution

The fourth proportional to 411.24, 567.46 and 256.04 is: 353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.24 : 567.46 = 256.04 : x
  2. Step 2: Convert to fraction form
    411.24/567.46 = 256.04/x
  3. Step 3: Cross multiply
    411.24x = 567.46 × 256.04
  4. Step 4: Simplify right side
    411.24x = 145,292.46
  5. Step 5: Solve for x
    x = 145,292.46/411.24
  6. Step 6: Final answer
    x = 353.30

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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.