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Finding the Fourth Proportional to 377.80, 522.90 and 368.20

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Solution

The fourth proportional to 377.80, 522.90 and 368.20 is: 509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.80 : 522.90 = 368.20 : x
  2. Step 2: Convert to fraction form
    377.80/522.90 = 368.20/x
  3. Step 3: Cross multiply
    377.80x = 522.90 × 368.20
  4. Step 4: Simplify right side
    377.80x = 192,531.78
  5. Step 5: Solve for x
    x = 192,531.78/377.80
  6. Step 6: Final answer
    x = 509.61

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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.