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Finding the Fourth Proportional to 445.06, 613.89 and 295.68

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Solution

The fourth proportional to 445.06, 613.89 and 295.68 is: 407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.06 : 613.89 = 295.68 : x
  2. Step 2: Convert to fraction form
    445.06/613.89 = 295.68/x
  3. Step 3: Cross multiply
    445.06x = 613.89 × 295.68
  4. Step 4: Simplify right side
    445.06x = 181,511.93
  5. Step 5: Solve for x
    x = 181,511.93/445.06
  6. Step 6: Final answer
    x = 407.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.