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Finding the Fourth Proportional to 568.96, 785.01 and 332.80

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Solution

The fourth proportional to 568.96, 785.01 and 332.80 is: 459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.96 : 785.01 = 332.80 : x
  2. Step 2: Convert to fraction form
    568.96/785.01 = 332.80/x
  3. Step 3: Cross multiply
    568.96x = 785.01 × 332.80
  4. Step 4: Simplify right side
    568.96x = 261,251.33
  5. Step 5: Solve for x
    x = 261,251.33/568.96
  6. Step 6: Final answer
    x = 459.17

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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.