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Finding the Fourth Proportional to 366.39, 548.96 and 294.10

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Solution

The fourth proportional to 366.39, 548.96 and 294.10 is: 440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.39 : 548.96 = 294.10 : x
  2. Step 2: Convert to fraction form
    366.39/548.96 = 294.10/x
  3. Step 3: Cross multiply
    366.39x = 548.96 × 294.10
  4. Step 4: Simplify right side
    366.39x = 161,448.50
  5. Step 5: Solve for x
    x = 161,448.50/366.39
  6. Step 6: Final answer
    x = 440.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.