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Finding the Fourth Proportional to 413.52, 569.88 and 296.88

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Solution

The fourth proportional to 413.52, 569.88 and 296.88 is: 409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.52 : 569.88 = 296.88 : x
  2. Step 2: Convert to fraction form
    413.52/569.88 = 296.88/x
  3. Step 3: Cross multiply
    413.52x = 569.88 × 296.88
  4. Step 4: Simplify right side
    413.52x = 169,185.97
  5. Step 5: Solve for x
    x = 169,185.97/413.52
  6. Step 6: Final answer
    x = 409.14

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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.