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Finding the Fourth Proportional to 568.34, 784.31 and 319.67

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Solution

The fourth proportional to 568.34, 784.31 and 319.67 is: 441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.34 : 784.31 = 319.67 : x
  2. Step 2: Convert to fraction form
    568.34/784.31 = 319.67/x
  3. Step 3: Cross multiply
    568.34x = 784.31 × 319.67
  4. Step 4: Simplify right side
    568.34x = 250,714.86
  5. Step 5: Solve for x
    x = 250,714.86/568.34
  6. Step 6: Final answer
    x = 441.14

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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.