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Finding the Fourth Proportional to 413.03, 569.98 and 229.03

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Solution

The fourth proportional to 413.03, 569.98 and 229.03 is: 316.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.03 : 569.98 = 229.03 : x
  2. Step 2: Convert to fraction form
    413.03/569.98 = 229.03/x
  3. Step 3: Cross multiply
    413.03x = 569.98 × 229.03
  4. Step 4: Simplify right side
    413.03x = 130,543.95
  5. Step 5: Solve for x
    x = 130,543.95/413.03
  6. Step 6: Final answer
    x = 316.06

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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.