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Finding the Fourth Proportional to 364.19, 550.23 and 360.95

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Solution

The fourth proportional to 364.19, 550.23 and 360.95 is: 545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.19 : 550.23 = 360.95 : x
  2. Step 2: Convert to fraction form
    364.19/550.23 = 360.95/x
  3. Step 3: Cross multiply
    364.19x = 550.23 × 360.95
  4. Step 4: Simplify right side
    364.19x = 198,602.77
  5. Step 5: Solve for x
    x = 198,602.77/364.19
  6. Step 6: Final answer
    x = 545.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.