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Finding the Fourth Proportional to 335.58, 462.44 and 314.16

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Solution

The fourth proportional to 335.58, 462.44 and 314.16 is: 432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.58 : 462.44 = 314.16 : x
  2. Step 2: Convert to fraction form
    335.58/462.44 = 314.16/x
  3. Step 3: Cross multiply
    335.58x = 462.44 × 314.16
  4. Step 4: Simplify right side
    335.58x = 145,278.58
  5. Step 5: Solve for x
    x = 145,278.58/335.58
  6. Step 6: Final answer
    x = 432.92

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