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Finding the Fourth Proportional to 613.95, 919.47 and 304.83

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Solution

The fourth proportional to 613.95, 919.47 and 304.83 is: 456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.95 : 919.47 = 304.83 : x
  2. Step 2: Convert to fraction form
    613.95/919.47 = 304.83/x
  3. Step 3: Cross multiply
    613.95x = 919.47 × 304.83
  4. Step 4: Simplify right side
    613.95x = 280,282.04
  5. Step 5: Solve for x
    x = 280,282.04/613.95
  6. Step 6: Final answer
    x = 456.52

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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.