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Finding the Fourth Proportional to 485.18, 727.97 and 464.42

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Solution

The fourth proportional to 485.18, 727.97 and 464.42 is: 696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.18 : 727.97 = 464.42 : x
  2. Step 2: Convert to fraction form
    485.18/727.97 = 464.42/x
  3. Step 3: Cross multiply
    485.18x = 727.97 × 464.42
  4. Step 4: Simplify right side
    485.18x = 338,077.87
  5. Step 5: Solve for x
    x = 338,077.87/485.18
  6. Step 6: Final answer
    x = 696.82

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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.