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Finding the Fourth Proportional to 411.72, 567.76 and 279.04

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Solution

The fourth proportional to 411.72, 567.76 and 279.04 is: 384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.72 : 567.76 = 279.04 : x
  2. Step 2: Convert to fraction form
    411.72/567.76 = 279.04/x
  3. Step 3: Cross multiply
    411.72x = 567.76 × 279.04
  4. Step 4: Simplify right side
    411.72x = 158,427.75
  5. Step 5: Solve for x
    x = 158,427.75/411.72
  6. Step 6: Final answer
    x = 384.79

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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.