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Finding the Fourth Proportional to 568.89, 784.76 and 332.78

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Solution

The fourth proportional to 568.89, 784.76 and 332.78 is: 459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.89 : 784.76 = 332.78 : x
  2. Step 2: Convert to fraction form
    568.89/784.76 = 332.78/x
  3. Step 3: Cross multiply
    568.89x = 784.76 × 332.78
  4. Step 4: Simplify right side
    568.89x = 261,146.85
  5. Step 5: Solve for x
    x = 261,146.85/568.89
  6. Step 6: Final answer
    x = 459.05

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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.