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Finding the Fourth Proportional to 531.61, 797.41 and 257.65

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Solution

The fourth proportional to 531.61, 797.41 and 257.65 is: 386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.61 : 797.41 = 257.65 : x
  2. Step 2: Convert to fraction form
    531.61/797.41 = 257.65/x
  3. Step 3: Cross multiply
    531.61x = 797.41 × 257.65
  4. Step 4: Simplify right side
    531.61x = 205,452.69
  5. Step 5: Solve for x
    x = 205,452.69/531.61
  6. Step 6: Final answer
    x = 386.47

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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.