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Finding the Fourth Proportional to 413.22, 570.06 and 296.85

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Solution

The fourth proportional to 413.22, 570.06 and 296.85 is: 409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.22 : 570.06 = 296.85 : x
  2. Step 2: Convert to fraction form
    413.22/570.06 = 296.85/x
  3. Step 3: Cross multiply
    413.22x = 570.06 × 296.85
  4. Step 4: Simplify right side
    413.22x = 169,222.31
  5. Step 5: Solve for x
    x = 169,222.31/413.22
  6. Step 6: Final answer
    x = 409.52

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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.