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Finding the Fourth Proportional to 467.62, 701.07 and 284.92

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Solution

The fourth proportional to 467.62, 701.07 and 284.92 is: 427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.62 : 701.07 = 284.92 : x
  2. Step 2: Convert to fraction form
    467.62/701.07 = 284.92/x
  3. Step 3: Cross multiply
    467.62x = 701.07 × 284.92
  4. Step 4: Simplify right side
    467.62x = 199,748.86
  5. Step 5: Solve for x
    x = 199,748.86/467.62
  6. Step 6: Final answer
    x = 427.16

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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.