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Finding the Fourth Proportional to 422.77, 583.05 and 340.15

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Solution

The fourth proportional to 422.77, 583.05 and 340.15 is: 469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.77 : 583.05 = 340.15 : x
  2. Step 2: Convert to fraction form
    422.77/583.05 = 340.15/x
  3. Step 3: Cross multiply
    422.77x = 583.05 × 340.15
  4. Step 4: Simplify right side
    422.77x = 198,324.46
  5. Step 5: Solve for x
    x = 198,324.46/422.77
  6. Step 6: Final answer
    x = 469.11

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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.