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Finding the Fourth Proportional to 531.24, 797.01 and 271.08

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Solution

The fourth proportional to 531.24, 797.01 and 271.08 is: 406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.24 : 797.01 = 271.08 : x
  2. Step 2: Convert to fraction form
    531.24/797.01 = 271.08/x
  3. Step 3: Cross multiply
    531.24x = 797.01 × 271.08
  4. Step 4: Simplify right side
    531.24x = 216,053.47
  5. Step 5: Solve for x
    x = 216,053.47/531.24
  6. Step 6: Final answer
    x = 406.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.