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Finding the Fourth Proportional to 532.14, 798.45 and 367.20

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Solution

The fourth proportional to 532.14, 798.45 and 367.20 is: 550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.14 : 798.45 = 367.20 : x
  2. Step 2: Convert to fraction form
    532.14/798.45 = 367.20/x
  3. Step 3: Cross multiply
    532.14x = 798.45 × 367.20
  4. Step 4: Simplify right side
    532.14x = 293,190.84
  5. Step 5: Solve for x
    x = 293,190.84/532.14
  6. Step 6: Final answer
    x = 550.97

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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.