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Finding the Fourth Proportional to 413.66, 619.92 and 228.65

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Solution

The fourth proportional to 413.66, 619.92 and 228.65 is: 342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.66 : 619.92 = 228.65 : x
  2. Step 2: Convert to fraction form
    413.66/619.92 = 228.65/x
  3. Step 3: Cross multiply
    413.66x = 619.92 × 228.65
  4. Step 4: Simplify right side
    413.66x = 141,746.33
  5. Step 5: Solve for x
    x = 141,746.33/413.66
  6. Step 6: Final answer
    x = 342.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.