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Finding the Fourth Proportional to 413.98, 569.70 and 320.36

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Solution

The fourth proportional to 413.98, 569.70 and 320.36 is: 440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.98 : 569.70 = 320.36 : x
  2. Step 2: Convert to fraction form
    413.98/569.70 = 320.36/x
  3. Step 3: Cross multiply
    413.98x = 569.70 × 320.36
  4. Step 4: Simplify right side
    413.98x = 182,506.24
  5. Step 5: Solve for x
    x = 182,506.24/413.98
  6. Step 6: Final answer
    x = 440.86

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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.