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Finding the Fourth Proportional to 422.91, 583.41 and 257.10

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Solution

The fourth proportional to 422.91, 583.41 and 257.10 is: 354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.91 : 583.41 = 257.10 : x
  2. Step 2: Convert to fraction form
    422.91/583.41 = 257.10/x
  3. Step 3: Cross multiply
    422.91x = 583.41 × 257.10
  4. Step 4: Simplify right side
    422.91x = 149,994.71
  5. Step 5: Solve for x
    x = 149,994.71/422.91
  6. Step 6: Final answer
    x = 354.67

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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.