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Finding the Fourth Proportional to 531.38, 797.07 and 257.40

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Solution

The fourth proportional to 531.38, 797.07 and 257.40 is: 386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.38 : 797.07 = 257.40 : x
  2. Step 2: Convert to fraction form
    531.38/797.07 = 257.40/x
  3. Step 3: Cross multiply
    531.38x = 797.07 × 257.40
  4. Step 4: Simplify right side
    531.38x = 205,165.82
  5. Step 5: Solve for x
    x = 205,165.82/531.38
  6. Step 6: Final answer
    x = 386.10

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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.