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Finding the Fourth Proportional to 467.71, 701.56 and 284.75

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Solution

The fourth proportional to 467.71, 701.56 and 284.75 is: 427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.71 : 701.56 = 284.75 : x
  2. Step 2: Convert to fraction form
    467.71/701.56 = 284.75/x
  3. Step 3: Cross multiply
    467.71x = 701.56 × 284.75
  4. Step 4: Simplify right side
    467.71x = 199,768.69
  5. Step 5: Solve for x
    x = 199,768.69/467.71
  6. Step 6: Final answer
    x = 427.12

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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.