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Finding the Fourth Proportional to 335.32, 465.84 and 332.31

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Solution

The fourth proportional to 335.32, 465.84 and 332.31 is: 461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.32 : 465.84 = 332.31 : x
  2. Step 2: Convert to fraction form
    335.32/465.84 = 332.31/x
  3. Step 3: Cross multiply
    335.32x = 465.84 × 332.31
  4. Step 4: Simplify right side
    335.32x = 154,803.79
  5. Step 5: Solve for x
    x = 154,803.79/335.32
  6. Step 6: Final answer
    x = 461.66

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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.