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Finding the Fourth Proportional to 335.24, 464.54 and 314.69

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Solution

The fourth proportional to 335.24, 464.54 and 314.69 is: 436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.24 : 464.54 = 314.69 : x
  2. Step 2: Convert to fraction form
    335.24/464.54 = 314.69/x
  3. Step 3: Cross multiply
    335.24x = 464.54 × 314.69
  4. Step 4: Simplify right side
    335.24x = 146,182.20
  5. Step 5: Solve for x
    x = 146,182.20/335.24
  6. Step 6: Final answer
    x = 436.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.