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Finding the Fourth Proportional to 486.72, 725.40 and 466.20

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Solution

The fourth proportional to 486.72, 725.40 and 466.20 is: 694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.72 : 725.40 = 466.20 : x
  2. Step 2: Convert to fraction form
    486.72/725.40 = 466.20/x
  3. Step 3: Cross multiply
    486.72x = 725.40 × 466.20
  4. Step 4: Simplify right side
    486.72x = 338,181.48
  5. Step 5: Solve for x
    x = 338,181.48/486.72
  6. Step 6: Final answer
    x = 694.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.