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Finding the Fourth Proportional to 413.41, 570.71 and 283.10

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Solution

The fourth proportional to 413.41, 570.71 and 283.10 is: 390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.41 : 570.71 = 283.10 : x
  2. Step 2: Convert to fraction form
    413.41/570.71 = 283.10/x
  3. Step 3: Cross multiply
    413.41x = 570.71 × 283.10
  4. Step 4: Simplify right side
    413.41x = 161,568.00
  5. Step 5: Solve for x
    x = 161,568.00/413.41
  6. Step 6: Final answer
    x = 390.82

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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.