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Finding the Fourth Proportional to 613.06, 918.91 and 305.14

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Solution

The fourth proportional to 613.06, 918.91 and 305.14 is: 457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.06 : 918.91 = 305.14 : x
  2. Step 2: Convert to fraction form
    613.06/918.91 = 305.14/x
  3. Step 3: Cross multiply
    613.06x = 918.91 × 305.14
  4. Step 4: Simplify right side
    613.06x = 280,396.20
  5. Step 5: Solve for x
    x = 280,396.20/613.06
  6. Step 6: Final answer
    x = 457.37

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Why These Related Problems?

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