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Finding the Fourth Proportional to 467.55, 701.93 and 330.66

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Solution

The fourth proportional to 467.55, 701.93 and 330.66 is: 496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.55 : 701.93 = 330.66 : x
  2. Step 2: Convert to fraction form
    467.55/701.93 = 330.66/x
  3. Step 3: Cross multiply
    467.55x = 701.93 × 330.66
  4. Step 4: Simplify right side
    467.55x = 232,100.17
  5. Step 5: Solve for x
    x = 232,100.17/467.55
  6. Step 6: Final answer
    x = 496.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.