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Finding the Fourth Proportional to 413.28, 569.96 and 314.80

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Solution

The fourth proportional to 413.28, 569.96 and 314.80 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.28 : 569.96 = 314.80 : x
  2. Step 2: Convert to fraction form
    413.28/569.96 = 314.80/x
  3. Step 3: Cross multiply
    413.28x = 569.96 × 314.80
  4. Step 4: Simplify right side
    413.28x = 179,423.41
  5. Step 5: Solve for x
    x = 179,423.41/413.28
  6. Step 6: Final answer
    x = 434.14

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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.