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Finding the Fourth Proportional to 568.04, 851.44 and 465.78

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Solution

The fourth proportional to 568.04, 851.44 and 465.78 is: 698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.04 : 851.44 = 465.78 : x
  2. Step 2: Convert to fraction form
    568.04/851.44 = 465.78/x
  3. Step 3: Cross multiply
    568.04x = 851.44 × 465.78
  4. Step 4: Simplify right side
    568.04x = 396,583.72
  5. Step 5: Solve for x
    x = 396,583.72/568.04
  6. Step 6: Final answer
    x = 698.16

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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.