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Finding the Fourth Proportional to 413.05, 570 and 236.02

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Solution

The fourth proportional to 413.05, 570 and 236.02 is: 325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.05 : 570 = 236.02 : x
  2. Step 2: Convert to fraction form
    413.05/570 = 236.02/x
  3. Step 3: Cross multiply
    413.05x = 570 × 236.02
  4. Step 4: Simplify right side
    413.05x = 134,531.40
  5. Step 5: Solve for x
    x = 134,531.40/413.05
  6. Step 6: Final answer
    x = 325.70

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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.