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Finding the Fourth Proportional to 463.59, 696.09 and 291.33

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Solution

The fourth proportional to 463.59, 696.09 and 291.33 is: 437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.59 : 696.09 = 291.33 : x
  2. Step 2: Convert to fraction form
    463.59/696.09 = 291.33/x
  3. Step 3: Cross multiply
    463.59x = 696.09 × 291.33
  4. Step 4: Simplify right side
    463.59x = 202,791.90
  5. Step 5: Solve for x
    x = 202,791.90/463.59
  6. Step 6: Final answer
    x = 437.44

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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.