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Finding the Fourth Proportional to 413.80, 569.82 and 297.16

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Solution

The fourth proportional to 413.80, 569.82 and 297.16 is: 409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.80 : 569.82 = 297.16 : x
  2. Step 2: Convert to fraction form
    413.80/569.82 = 297.16/x
  3. Step 3: Cross multiply
    413.80x = 569.82 × 297.16
  4. Step 4: Simplify right side
    413.80x = 169,327.71
  5. Step 5: Solve for x
    x = 169,327.71/413.80
  6. Step 6: Final answer
    x = 409.20

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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.