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Finding the Fourth Proportional to 531.97, 797.34 and 288.66

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Solution

The fourth proportional to 531.97, 797.34 and 288.66 is: 432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.97 : 797.34 = 288.66 : x
  2. Step 2: Convert to fraction form
    531.97/797.34 = 288.66/x
  3. Step 3: Cross multiply
    531.97x = 797.34 × 288.66
  4. Step 4: Simplify right side
    531.97x = 230,164.24
  5. Step 5: Solve for x
    x = 230,164.24/531.97
  6. Step 6: Final answer
    x = 432.67

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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.