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Finding the Fourth Proportional to 411.19, 567.44 and 224.68

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Solution

The fourth proportional to 411.19, 567.44 and 224.68 is: 310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.19 : 567.44 = 224.68 : x
  2. Step 2: Convert to fraction form
    411.19/567.44 = 224.68/x
  3. Step 3: Cross multiply
    411.19x = 567.44 × 224.68
  4. Step 4: Simplify right side
    411.19x = 127,492.42
  5. Step 5: Solve for x
    x = 127,492.42/411.19
  6. Step 6: Final answer
    x = 310.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.