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Finding the Fourth Proportional to 467.46, 701.19 and 286.02

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Solution

The fourth proportional to 467.46, 701.19 and 286.02 is: 429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.46 : 701.19 = 286.02 : x
  2. Step 2: Convert to fraction form
    467.46/701.19 = 286.02/x
  3. Step 3: Cross multiply
    467.46x = 701.19 × 286.02
  4. Step 4: Simplify right side
    467.46x = 200,554.36
  5. Step 5: Solve for x
    x = 200,554.36/467.46
  6. Step 6: Final answer
    x = 429.03

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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.