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Finding the Fourth Proportional to 568, 852.18 and 422.02

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Solution

The fourth proportional to 568, 852.18 and 422.02 is: 633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    568 : 852.18 = 422.02 : x
  2. Step 2: Convert to fraction form
    568/852.18 = 422.02/x
  3. Step 3: Cross multiply
    568x = 852.18 × 422.02
  4. Step 4: Simplify right side
    568x = 359,637.00
  5. Step 5: Solve for x
    x = 359,637.00/568
  6. Step 6: Final answer
    x = 633.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.