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Finding the Fourth Proportional to 369.42, 550.40 and 359.64

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Solution

The fourth proportional to 369.42, 550.40 and 359.64 is: 535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.42 : 550.40 = 359.64 : x
  2. Step 2: Convert to fraction form
    369.42/550.40 = 359.64/x
  3. Step 3: Cross multiply
    369.42x = 550.40 × 359.64
  4. Step 4: Simplify right side
    369.42x = 197,944.06
  5. Step 5: Solve for x
    x = 197,944.06/369.42
  6. Step 6: Final answer
    x = 535.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.