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Finding the Fourth Proportional to 912.70, 1,369.23 and 364.78

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Solution

The fourth proportional to 912.70, 1,369.23 and 364.78 is: 547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.70 : 1,369.23 = 364.78 : x
  2. Step 2: Convert to fraction form
    912.70/1,369.23 = 364.78/x
  3. Step 3: Cross multiply
    912.70x = 1,369.23 × 364.78
  4. Step 4: Simplify right side
    912.70x = 499,467.72
  5. Step 5: Solve for x
    x = 499,467.72/912.70
  6. Step 6: Final answer
    x = 547.24

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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.