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Finding the Fourth Proportional to 631.76, 871.84 and 352

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Solution

The fourth proportional to 631.76, 871.84 and 352 is: 485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.76 : 871.84 = 352 : x
  2. Step 2: Convert to fraction form
    631.76/871.84 = 352/x
  3. Step 3: Cross multiply
    631.76x = 871.84 × 352
  4. Step 4: Simplify right side
    631.76x = 306,887.68
  5. Step 5: Solve for x
    x = 306,887.68/631.76
  6. Step 6: Final answer
    x = 485.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.