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Finding the Fourth Proportional to 377.51, 562.97 and 363.84

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Solution

The fourth proportional to 377.51, 562.97 and 363.84 is: 542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.51 : 562.97 = 363.84 : x
  2. Step 2: Convert to fraction form
    377.51/562.97 = 363.84/x
  3. Step 3: Cross multiply
    377.51x = 562.97 × 363.84
  4. Step 4: Simplify right side
    377.51x = 204,829.19
  5. Step 5: Solve for x
    x = 204,829.19/377.51
  6. Step 6: Final answer
    x = 542.58

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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.