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Finding the Fourth Proportional to 613.10, 918.76 and 284.14

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Solution

The fourth proportional to 613.10, 918.76 and 284.14 is: 425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.10 : 918.76 = 284.14 : x
  2. Step 2: Convert to fraction form
    613.10/918.76 = 284.14/x
  3. Step 3: Cross multiply
    613.10x = 918.76 × 284.14
  4. Step 4: Simplify right side
    613.10x = 261,059.69
  5. Step 5: Solve for x
    x = 261,059.69/613.10
  6. Step 6: Final answer
    x = 425.80

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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.