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Finding the Fourth Proportional to 410.94, 567.29 and 286.56

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Solution

The fourth proportional to 410.94, 567.29 and 286.56 is: 395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 567.29 = 286.56 : x
  2. Step 2: Convert to fraction form
    410.94/567.29 = 286.56/x
  3. Step 3: Cross multiply
    410.94x = 567.29 × 286.56
  4. Step 4: Simplify right side
    410.94x = 162,563.34
  5. Step 5: Solve for x
    x = 162,563.34/410.94
  6. Step 6: Final answer
    x = 395.59

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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.