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Finding the Fourth Proportional to 531.20, 733.09 and 295.22

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Solution

The fourth proportional to 531.20, 733.09 and 295.22 is: 407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.20 : 733.09 = 295.22 : x
  2. Step 2: Convert to fraction form
    531.20/733.09 = 295.22/x
  3. Step 3: Cross multiply
    531.20x = 733.09 × 295.22
  4. Step 4: Simplify right side
    531.20x = 216,422.83
  5. Step 5: Solve for x
    x = 216,422.83/531.20
  6. Step 6: Final answer
    x = 407.42

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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.