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Finding the Fourth Proportional to 569.34, 854.55 and 413.28

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Solution

The fourth proportional to 569.34, 854.55 and 413.28 is: 620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.34 : 854.55 = 413.28 : x
  2. Step 2: Convert to fraction form
    569.34/854.55 = 413.28/x
  3. Step 3: Cross multiply
    569.34x = 854.55 × 413.28
  4. Step 4: Simplify right side
    569.34x = 353,168.42
  5. Step 5: Solve for x
    x = 353,168.42/569.34
  6. Step 6: Final answer
    x = 620.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.