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Finding the Fourth Proportional to 413.49, 570.20 and 364.35

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Solution

The fourth proportional to 413.49, 570.20 and 364.35 is: 502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.49 : 570.20 = 364.35 : x
  2. Step 2: Convert to fraction form
    413.49/570.20 = 364.35/x
  3. Step 3: Cross multiply
    413.49x = 570.20 × 364.35
  4. Step 4: Simplify right side
    413.49x = 207,750.55
  5. Step 5: Solve for x
    x = 207,750.55/413.49
  6. Step 6: Final answer
    x = 502.43

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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.