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Finding the Fourth Proportional to 569.22, 852.38 and 454.98

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Solution

The fourth proportional to 569.22, 852.38 and 454.98 is: 681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.22 : 852.38 = 454.98 : x
  2. Step 2: Convert to fraction form
    569.22/852.38 = 454.98/x
  3. Step 3: Cross multiply
    569.22x = 852.38 × 454.98
  4. Step 4: Simplify right side
    569.22x = 387,815.85
  5. Step 5: Solve for x
    x = 387,815.85/569.22
  6. Step 6: Final answer
    x = 681.31

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