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Finding the Fourth Proportional to 568.86, 784.94 and 320.16

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Solution

The fourth proportional to 568.86, 784.94 and 320.16 is: 441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.86 : 784.94 = 320.16 : x
  2. Step 2: Convert to fraction form
    568.86/784.94 = 320.16/x
  3. Step 3: Cross multiply
    568.86x = 784.94 × 320.16
  4. Step 4: Simplify right side
    568.86x = 251,306.39
  5. Step 5: Solve for x
    x = 251,306.39/568.86
  6. Step 6: Final answer
    x = 441.77

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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.