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Finding the Fourth Proportional to 440.41, 607.74 and 253.87

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Solution

The fourth proportional to 440.41, 607.74 and 253.87 is: 350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.41 : 607.74 = 253.87 : x
  2. Step 2: Convert to fraction form
    440.41/607.74 = 253.87/x
  3. Step 3: Cross multiply
    440.41x = 607.74 × 253.87
  4. Step 4: Simplify right side
    440.41x = 154,286.95
  5. Step 5: Solve for x
    x = 154,286.95/440.41
  6. Step 6: Final answer
    x = 350.33

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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.