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Finding the Fourth Proportional to 531.39, 797.32 and 288.09

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Solution

The fourth proportional to 531.39, 797.32 and 288.09 is: 432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.39 : 797.32 = 288.09 : x
  2. Step 2: Convert to fraction form
    531.39/797.32 = 288.09/x
  3. Step 3: Cross multiply
    531.39x = 797.32 × 288.09
  4. Step 4: Simplify right side
    531.39x = 229,699.92
  5. Step 5: Solve for x
    x = 229,699.92/531.39
  6. Step 6: Final answer
    x = 432.26

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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.