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Finding the Fourth Proportional to 486.49, 725.65 and 442.75

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Solution

The fourth proportional to 486.49, 725.65 and 442.75 is: 660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.49 : 725.65 = 442.75 : x
  2. Step 2: Convert to fraction form
    486.49/725.65 = 442.75/x
  3. Step 3: Cross multiply
    486.49x = 725.65 × 442.75
  4. Step 4: Simplify right side
    486.49x = 321,281.54
  5. Step 5: Solve for x
    x = 321,281.54/486.49
  6. Step 6: Final answer
    x = 660.41

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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.