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Finding the Fourth Proportional to 411.13, 567.17 and 253.70

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Solution

The fourth proportional to 411.13, 567.17 and 253.70 is: 349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.13 : 567.17 = 253.70 : x
  2. Step 2: Convert to fraction form
    411.13/567.17 = 253.70/x
  3. Step 3: Cross multiply
    411.13x = 567.17 × 253.70
  4. Step 4: Simplify right side
    411.13x = 143,890.00
  5. Step 5: Solve for x
    x = 143,890.00/411.13
  6. Step 6: Final answer
    x = 349.99

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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.