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Finding the Fourth Proportional to 411.59, 567.62 and 299.34

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Solution

The fourth proportional to 411.59, 567.62 and 299.34 is: 412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.59 : 567.62 = 299.34 : x
  2. Step 2: Convert to fraction form
    411.59/567.62 = 299.34/x
  3. Step 3: Cross multiply
    411.59x = 567.62 × 299.34
  4. Step 4: Simplify right side
    411.59x = 169,908.53
  5. Step 5: Solve for x
    x = 169,908.53/411.59
  6. Step 6: Final answer
    x = 412.81

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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.