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Finding the Fourth Proportional to 413.80, 623.14 and 360.34

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Solution

The fourth proportional to 413.80, 623.14 and 360.34 is: 542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.80 : 623.14 = 360.34 : x
  2. Step 2: Convert to fraction form
    413.80/623.14 = 360.34/x
  3. Step 3: Cross multiply
    413.80x = 623.14 × 360.34
  4. Step 4: Simplify right side
    413.80x = 224,542.27
  5. Step 5: Solve for x
    x = 224,542.27/413.80
  6. Step 6: Final answer
    x = 542.63

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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.