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Finding the Fourth Proportional to 411.99, 567.77 and 318.57

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Solution

The fourth proportional to 411.99, 567.77 and 318.57 is: 439.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.99 : 567.77 = 318.57 : x
  2. Step 2: Convert to fraction form
    411.99/567.77 = 318.57/x
  3. Step 3: Cross multiply
    411.99x = 567.77 × 318.57
  4. Step 4: Simplify right side
    411.99x = 180,872.90
  5. Step 5: Solve for x
    x = 180,872.90/411.99
  6. Step 6: Final answer
    x = 439.02

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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.