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Finding the Fourth Proportional to 531.62, 797.67 and 254.06

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Solution

The fourth proportional to 531.62, 797.67 and 254.06 is: 381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.62 : 797.67 = 254.06 : x
  2. Step 2: Convert to fraction form
    531.62/797.67 = 254.06/x
  3. Step 3: Cross multiply
    531.62x = 797.67 × 254.06
  4. Step 4: Simplify right side
    531.62x = 202,656.04
  5. Step 5: Solve for x
    x = 202,656.04/531.62
  6. Step 6: Final answer
    x = 381.20

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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.