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Finding the Fourth Proportional to 443.38, 611.58 and 285.75

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Solution

The fourth proportional to 443.38, 611.58 and 285.75 is: 394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.38 : 611.58 = 285.75 : x
  2. Step 2: Convert to fraction form
    443.38/611.58 = 285.75/x
  3. Step 3: Cross multiply
    443.38x = 611.58 × 285.75
  4. Step 4: Simplify right side
    443.38x = 174,758.99
  5. Step 5: Solve for x
    x = 174,758.99/443.38
  6. Step 6: Final answer
    x = 394.15

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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.