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Finding the Fourth Proportional to 411.57, 567.84 and 245.79

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Solution

The fourth proportional to 411.57, 567.84 and 245.79 is: 339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.57 : 567.84 = 245.79 : x
  2. Step 2: Convert to fraction form
    411.57/567.84 = 245.79/x
  3. Step 3: Cross multiply
    411.57x = 567.84 × 245.79
  4. Step 4: Simplify right side
    411.57x = 139,569.39
  5. Step 5: Solve for x
    x = 139,569.39/411.57
  6. Step 6: Final answer
    x = 339.11

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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.