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Finding the Fourth Proportional to 422.69, 583.13 and 247.93

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Solution

The fourth proportional to 422.69, 583.13 and 247.93 is: 342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.69 : 583.13 = 247.93 : x
  2. Step 2: Convert to fraction form
    422.69/583.13 = 247.93/x
  3. Step 3: Cross multiply
    422.69x = 583.13 × 247.93
  4. Step 4: Simplify right side
    422.69x = 144,574.58
  5. Step 5: Solve for x
    x = 144,574.58/422.69
  6. Step 6: Final answer
    x = 342.04

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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.