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Finding the Fourth Proportional to 335.59, 462.15 and 314.76

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Solution

The fourth proportional to 335.59, 462.15 and 314.76 is: 433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.59 : 462.15 = 314.76 : x
  2. Step 2: Convert to fraction form
    335.59/462.15 = 314.76/x
  3. Step 3: Cross multiply
    335.59x = 462.15 × 314.76
  4. Step 4: Simplify right side
    335.59x = 145,466.33
  5. Step 5: Solve for x
    x = 145,466.33/335.59
  6. Step 6: Final answer
    x = 433.46

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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.