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Finding the Fourth Proportional to 438.48, 605.25 and 298.62

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Solution

The fourth proportional to 438.48, 605.25 and 298.62 is: 412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.48 : 605.25 = 298.62 : x
  2. Step 2: Convert to fraction form
    438.48/605.25 = 298.62/x
  3. Step 3: Cross multiply
    438.48x = 605.25 × 298.62
  4. Step 4: Simplify right side
    438.48x = 180,739.76
  5. Step 5: Solve for x
    x = 180,739.76/438.48
  6. Step 6: Final answer
    x = 412.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.