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Finding the Fourth Proportional to 316.32, 435.48 and 238.56

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Solution

The fourth proportional to 316.32, 435.48 and 238.56 is: 328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.32 : 435.48 = 238.56 : x
  2. Step 2: Convert to fraction form
    316.32/435.48 = 238.56/x
  3. Step 3: Cross multiply
    316.32x = 435.48 × 238.56
  4. Step 4: Simplify right side
    316.32x = 103,888.11
  5. Step 5: Solve for x
    x = 103,888.11/316.32
  6. Step 6: Final answer
    x = 328.43

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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.