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Finding the Fourth Proportional to 413.01, 569.84 and 296.64

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Solution

The fourth proportional to 413.01, 569.84 and 296.64 is: 409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.01 : 569.84 = 296.64 : x
  2. Step 2: Convert to fraction form
    413.01/569.84 = 296.64/x
  3. Step 3: Cross multiply
    413.01x = 569.84 × 296.64
  4. Step 4: Simplify right side
    413.01x = 169,035.85
  5. Step 5: Solve for x
    x = 169,035.85/413.01
  6. Step 6: Final answer
    x = 409.28

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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.