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Finding the Fourth Proportional to 436.61, 602.39 and 338.20

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Solution

The fourth proportional to 436.61, 602.39 and 338.20 is: 466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.61 : 602.39 = 338.20 : x
  2. Step 2: Convert to fraction form
    436.61/602.39 = 338.20/x
  3. Step 3: Cross multiply
    436.61x = 602.39 × 338.20
  4. Step 4: Simplify right side
    436.61x = 203,727.64
  5. Step 5: Solve for x
    x = 203,727.64/436.61
  6. Step 6: Final answer
    x = 466.61

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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.