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Finding the Fourth Proportional to 568.62, 784.69 and 319.92

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Solution

The fourth proportional to 568.62, 784.69 and 319.92 is: 441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.62 : 784.69 = 319.92 : x
  2. Step 2: Convert to fraction form
    568.62/784.69 = 319.92/x
  3. Step 3: Cross multiply
    568.62x = 784.69 × 319.92
  4. Step 4: Simplify right side
    568.62x = 251,038.02
  5. Step 5: Solve for x
    x = 251,038.02/568.62
  6. Step 6: Final answer
    x = 441.49

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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.