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Finding the Fourth Proportional to 628.16, 866.34 and 613.13

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Solution

The fourth proportional to 628.16, 866.34 and 613.13 is: 845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.16 : 866.34 = 613.13 : x
  2. Step 2: Convert to fraction form
    628.16/866.34 = 613.13/x
  3. Step 3: Cross multiply
    628.16x = 866.34 × 613.13
  4. Step 4: Simplify right side
    628.16x = 531,174.71
  5. Step 5: Solve for x
    x = 531,174.71/628.16
  6. Step 6: Final answer
    x = 845.61

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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.