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Finding the Fourth Proportional to 569.55, 854.29 and 204.24

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Solution

The fourth proportional to 569.55, 854.29 and 204.24 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.55 : 854.29 = 204.24 : x
  2. Step 2: Convert to fraction form
    569.55/854.29 = 204.24/x
  3. Step 3: Cross multiply
    569.55x = 854.29 × 204.24
  4. Step 4: Simplify right side
    569.55x = 174,480.19
  5. Step 5: Solve for x
    x = 174,480.19/569.55
  6. Step 6: Final answer
    x = 306.35

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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.