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Finding the Fourth Proportional to 531.92, 797.27 and 288.65

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Solution

The fourth proportional to 531.92, 797.27 and 288.65 is: 432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.92 : 797.27 = 288.65 : x
  2. Step 2: Convert to fraction form
    531.92/797.27 = 288.65/x
  3. Step 3: Cross multiply
    531.92x = 797.27 × 288.65
  4. Step 4: Simplify right side
    531.92x = 230,126.56
  5. Step 5: Solve for x
    x = 230,126.56/531.92
  6. Step 6: Final answer
    x = 432.64

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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.