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Finding the Fourth Proportional to 422.95, 583.14 and 340.06

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Solution

The fourth proportional to 422.95, 583.14 and 340.06 is: 468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.95 : 583.14 = 340.06 : x
  2. Step 2: Convert to fraction form
    422.95/583.14 = 340.06/x
  3. Step 3: Cross multiply
    422.95x = 583.14 × 340.06
  4. Step 4: Simplify right side
    422.95x = 198,302.41
  5. Step 5: Solve for x
    x = 198,302.41/422.95
  6. Step 6: Final answer
    x = 468.86

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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.