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Finding the Fourth Proportional to 413.97, 570.48 and 309.18

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Solution

The fourth proportional to 413.97, 570.48 and 309.18 is: 426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.97 : 570.48 = 309.18 : x
  2. Step 2: Convert to fraction form
    413.97/570.48 = 309.18/x
  3. Step 3: Cross multiply
    413.97x = 570.48 × 309.18
  4. Step 4: Simplify right side
    413.97x = 176,381.01
  5. Step 5: Solve for x
    x = 176,381.01/413.97
  6. Step 6: Final answer
    x = 426.07

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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.