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Finding the Fourth Proportional to 596.88, 823.92 and 422.40

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Solution

The fourth proportional to 596.88, 823.92 and 422.40 is: 583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.88 : 823.92 = 422.40 : x
  2. Step 2: Convert to fraction form
    596.88/823.92 = 422.40/x
  3. Step 3: Cross multiply
    596.88x = 823.92 × 422.40
  4. Step 4: Simplify right side
    596.88x = 348,023.81
  5. Step 5: Solve for x
    x = 348,023.81/596.88
  6. Step 6: Final answer
    x = 583.07

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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.