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Finding the Fourth Proportional to 377.77, 562.94 and 365.38

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Solution

The fourth proportional to 377.77, 562.94 and 365.38 is: 544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.77 : 562.94 = 365.38 : x
  2. Step 2: Convert to fraction form
    377.77/562.94 = 365.38/x
  3. Step 3: Cross multiply
    377.77x = 562.94 × 365.38
  4. Step 4: Simplify right side
    377.77x = 205,690.37
  5. Step 5: Solve for x
    x = 205,690.37/377.77
  6. Step 6: Final answer
    x = 544.49

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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.