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Finding the Fourth Proportional to 531.54, 797.42 and 271.34

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Solution

The fourth proportional to 531.54, 797.42 and 271.34 is: 407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.54 : 797.42 = 271.34 : x
  2. Step 2: Convert to fraction form
    531.54/797.42 = 271.34/x
  3. Step 3: Cross multiply
    531.54x = 797.42 × 271.34
  4. Step 4: Simplify right side
    531.54x = 216,366.60
  5. Step 5: Solve for x
    x = 216,366.60/531.54
  6. Step 6: Final answer
    x = 407.06

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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.