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Finding the Fourth Proportional to 439.82, 607.02 and 265.22

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Solution

The fourth proportional to 439.82, 607.02 and 265.22 is: 366.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.82 : 607.02 = 265.22 : x
  2. Step 2: Convert to fraction form
    439.82/607.02 = 265.22/x
  3. Step 3: Cross multiply
    439.82x = 607.02 × 265.22
  4. Step 4: Simplify right side
    439.82x = 160,993.84
  5. Step 5: Solve for x
    x = 160,993.84/439.82
  6. Step 6: Final answer
    x = 366.04

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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.