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Finding the Fourth Proportional to 613.06, 918.30 and 586.30

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Solution

The fourth proportional to 613.06, 918.30 and 586.30 is: 878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.06 : 918.30 = 586.30 : x
  2. Step 2: Convert to fraction form
    613.06/918.30 = 586.30/x
  3. Step 3: Cross multiply
    613.06x = 918.30 × 586.30
  4. Step 4: Simplify right side
    613.06x = 538,399.29
  5. Step 5: Solve for x
    x = 538,399.29/613.06
  6. Step 6: Final answer
    x = 878.22

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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.