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Finding the Fourth Proportional to 371.60, 512.08 and 312.44

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Solution

The fourth proportional to 371.60, 512.08 and 312.44 is: 430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.60 : 512.08 = 312.44 : x
  2. Step 2: Convert to fraction form
    371.60/512.08 = 312.44/x
  3. Step 3: Cross multiply
    371.60x = 512.08 × 312.44
  4. Step 4: Simplify right side
    371.60x = 159,994.28
  5. Step 5: Solve for x
    x = 159,994.28/371.60
  6. Step 6: Final answer
    x = 430.56

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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.