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Finding the Fourth Proportional to 532.04, 796.84 and 369.84

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Solution

The fourth proportional to 532.04, 796.84 and 369.84 is: 553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.04 : 796.84 = 369.84 : x
  2. Step 2: Convert to fraction form
    532.04/796.84 = 369.84/x
  3. Step 3: Cross multiply
    532.04x = 796.84 × 369.84
  4. Step 4: Simplify right side
    532.04x = 294,703.31
  5. Step 5: Solve for x
    x = 294,703.31/532.04
  6. Step 6: Final answer
    x = 553.91

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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.