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Finding the Fourth Proportional to 314.32, 432.68 and 272.29

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Solution

The fourth proportional to 314.32, 432.68 and 272.29 is: 374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.32 : 432.68 = 272.29 : x
  2. Step 2: Convert to fraction form
    314.32/432.68 = 272.29/x
  3. Step 3: Cross multiply
    314.32x = 432.68 × 272.29
  4. Step 4: Simplify right side
    314.32x = 117,814.44
  5. Step 5: Solve for x
    x = 117,814.44/314.32
  6. Step 6: Final answer
    x = 374.82

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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.