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Finding the Fourth Proportional to 568.18, 852.33 and 424.81

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Solution

The fourth proportional to 568.18, 852.33 and 424.81 is: 637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.18 : 852.33 = 424.81 : x
  2. Step 2: Convert to fraction form
    568.18/852.33 = 424.81/x
  3. Step 3: Cross multiply
    568.18x = 852.33 × 424.81
  4. Step 4: Simplify right side
    568.18x = 362,078.31
  5. Step 5: Solve for x
    x = 362,078.31/568.18
  6. Step 6: Final answer
    x = 637.26

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