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Finding the Fourth Proportional to 531.26, 733.13 and 295.21

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Solution

The fourth proportional to 531.26, 733.13 and 295.21 is: 407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.26 : 733.13 = 295.21 : x
  2. Step 2: Convert to fraction form
    531.26/733.13 = 295.21/x
  3. Step 3: Cross multiply
    531.26x = 733.13 × 295.21
  4. Step 4: Simplify right side
    531.26x = 216,427.31
  5. Step 5: Solve for x
    x = 216,427.31/531.26
  6. Step 6: Final answer
    x = 407.38

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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.