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Finding the Fourth Proportional to 413.34, 569.79 and 325.86

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Solution

The fourth proportional to 413.34, 569.79 and 325.86 is: 449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.34 : 569.79 = 325.86 : x
  2. Step 2: Convert to fraction form
    413.34/569.79 = 325.86/x
  3. Step 3: Cross multiply
    413.34x = 569.79 × 325.86
  4. Step 4: Simplify right side
    413.34x = 185,671.77
  5. Step 5: Solve for x
    x = 185,671.77/413.34
  6. Step 6: Final answer
    x = 449.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.