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Finding the Fourth Proportional to 491.52, 677.74 and 379.23

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Solution

The fourth proportional to 491.52, 677.74 and 379.23 is: 522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.52 : 677.74 = 379.23 : x
  2. Step 2: Convert to fraction form
    491.52/677.74 = 379.23/x
  3. Step 3: Cross multiply
    491.52x = 677.74 × 379.23
  4. Step 4: Simplify right side
    491.52x = 257,020.37
  5. Step 5: Solve for x
    x = 257,020.37/491.52
  6. Step 6: Final answer
    x = 522.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.