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Finding the Fourth Proportional to 413.19, 569.66 and 308.34

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Solution

The fourth proportional to 413.19, 569.66 and 308.34 is: 425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.19 : 569.66 = 308.34 : x
  2. Step 2: Convert to fraction form
    413.19/569.66 = 308.34/x
  3. Step 3: Cross multiply
    413.19x = 569.66 × 308.34
  4. Step 4: Simplify right side
    413.19x = 175,647.42
  5. Step 5: Solve for x
    x = 175,647.42/413.19
  6. Step 6: Final answer
    x = 425.10

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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.