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Finding the Fourth Proportional to 568.50, 784.48 and 319.84

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Solution

The fourth proportional to 568.50, 784.48 and 319.84 is: 441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.50 : 784.48 = 319.84 : x
  2. Step 2: Convert to fraction form
    568.50/784.48 = 319.84/x
  3. Step 3: Cross multiply
    568.50x = 784.48 × 319.84
  4. Step 4: Simplify right side
    568.50x = 250,908.08
  5. Step 5: Solve for x
    x = 250,908.08/568.50
  6. Step 6: Final answer
    x = 441.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.