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Finding the Fourth Proportional to 531.60, 797.90 and 271.78

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Solution

The fourth proportional to 531.60, 797.90 and 271.78 is: 407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.60 : 797.90 = 271.78 : x
  2. Step 2: Convert to fraction form
    531.60/797.90 = 271.78/x
  3. Step 3: Cross multiply
    531.60x = 797.90 × 271.78
  4. Step 4: Simplify right side
    531.60x = 216,853.26
  5. Step 5: Solve for x
    x = 216,853.26/531.60
  6. Step 6: Final answer
    x = 407.93

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