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Finding the Fourth Proportional to 410.68, 567.48 and 312.27

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Solution

The fourth proportional to 410.68, 567.48 and 312.27 is: 431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.68 : 567.48 = 312.27 : x
  2. Step 2: Convert to fraction form
    410.68/567.48 = 312.27/x
  3. Step 3: Cross multiply
    410.68x = 567.48 × 312.27
  4. Step 4: Simplify right side
    410.68x = 177,203.72
  5. Step 5: Solve for x
    x = 177,203.72/410.68
  6. Step 6: Final answer
    x = 431.49

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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.