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Finding the Fourth Proportional to 443.46, 611.00 and 295.83

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Solution

The fourth proportional to 443.46, 611.00 and 295.83 is: 407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.46 : 611.00 = 295.83 : x
  2. Step 2: Convert to fraction form
    443.46/611.00 = 295.83/x
  3. Step 3: Cross multiply
    443.46x = 611.00 × 295.83
  4. Step 4: Simplify right side
    443.46x = 180,750.65
  5. Step 5: Solve for x
    x = 180,750.65/443.46
  6. Step 6: Final answer
    x = 407.59

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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.