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Finding the Fourth Proportional to 565.65, 847.67 and 428.83

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Solution

The fourth proportional to 565.65, 847.67 and 428.83 is: 642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.65 : 847.67 = 428.83 : x
  2. Step 2: Convert to fraction form
    565.65/847.67 = 428.83/x
  3. Step 3: Cross multiply
    565.65x = 847.67 × 428.83
  4. Step 4: Simplify right side
    565.65x = 363,502.06
  5. Step 5: Solve for x
    x = 363,502.06/565.65
  6. Step 6: Final answer
    x = 642.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.