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Finding the Fourth Proportional to 467.57, 701.77 and 465.82

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Solution

The fourth proportional to 467.57, 701.77 and 465.82 is: 699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.57 : 701.77 = 465.82 : x
  2. Step 2: Convert to fraction form
    467.57/701.77 = 465.82/x
  3. Step 3: Cross multiply
    467.57x = 701.77 × 465.82
  4. Step 4: Simplify right side
    467.57x = 326,898.50
  5. Step 5: Solve for x
    x = 326,898.50/467.57
  6. Step 6: Final answer
    x = 699.14

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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.