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Finding the Fourth Proportional to 413.14, 569.82 and 288.76

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Solution

The fourth proportional to 413.14, 569.82 and 288.76 is: 398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 569.82 = 288.76 : x
  2. Step 2: Convert to fraction form
    413.14/569.82 = 288.76/x
  3. Step 3: Cross multiply
    413.14x = 569.82 × 288.76
  4. Step 4: Simplify right side
    413.14x = 164,541.22
  5. Step 5: Solve for x
    x = 164,541.22/413.14
  6. Step 6: Final answer
    x = 398.27

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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.