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Finding the Fourth Proportional to 413.13, 569.93 and 255.70

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Solution

The fourth proportional to 413.13, 569.93 and 255.70 is: 352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.13 : 569.93 = 255.70 : x
  2. Step 2: Convert to fraction form
    413.13/569.93 = 255.70/x
  3. Step 3: Cross multiply
    413.13x = 569.93 × 255.70
  4. Step 4: Simplify right side
    413.13x = 145,731.10
  5. Step 5: Solve for x
    x = 145,731.10/413.13
  6. Step 6: Final answer
    x = 352.75

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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.