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Finding the Fourth Proportional to 467.59, 701.38 and 261.85

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Solution

The fourth proportional to 467.59, 701.38 and 261.85 is: 392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.59 : 701.38 = 261.85 : x
  2. Step 2: Convert to fraction form
    467.59/701.38 = 261.85/x
  3. Step 3: Cross multiply
    467.59x = 701.38 × 261.85
  4. Step 4: Simplify right side
    467.59x = 183,652.19
  5. Step 5: Solve for x
    x = 183,652.19/467.59
  6. Step 6: Final answer
    x = 392.77

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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.