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Finding the Fourth Proportional to 437.86, 604.23 and 282.61

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Solution

The fourth proportional to 437.86, 604.23 and 282.61 is: 389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.86 : 604.23 = 282.61 : x
  2. Step 2: Convert to fraction form
    437.86/604.23 = 282.61/x
  3. Step 3: Cross multiply
    437.86x = 604.23 × 282.61
  4. Step 4: Simplify right side
    437.86x = 170,758.42
  5. Step 5: Solve for x
    x = 170,758.42/437.86
  6. Step 6: Final answer
    x = 389.99

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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.