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Finding the Fourth Proportional to 411.09, 567.15 and 253.62

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Solution

The fourth proportional to 411.09, 567.15 and 253.62 is: 349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.09 : 567.15 = 253.62 : x
  2. Step 2: Convert to fraction form
    411.09/567.15 = 253.62/x
  3. Step 3: Cross multiply
    411.09x = 567.15 × 253.62
  4. Step 4: Simplify right side
    411.09x = 143,840.58
  5. Step 5: Solve for x
    x = 143,840.58/411.09
  6. Step 6: Final answer
    x = 349.90

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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.