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Finding the Fourth Proportional to 413.40, 569.52 and 282.24

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Solution

The fourth proportional to 413.40, 569.52 and 282.24 is: 388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.40 : 569.52 = 282.24 : x
  2. Step 2: Convert to fraction form
    413.40/569.52 = 282.24/x
  3. Step 3: Cross multiply
    413.40x = 569.52 × 282.24
  4. Step 4: Simplify right side
    413.40x = 160,741.32
  5. Step 5: Solve for x
    x = 160,741.32/413.40
  6. Step 6: Final answer
    x = 388.83

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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.