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Finding the Fourth Proportional to 569.48, 854.24 and 204.14

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Solution

The fourth proportional to 569.48, 854.24 and 204.14 is: 306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.48 : 854.24 = 204.14 : x
  2. Step 2: Convert to fraction form
    569.48/854.24 = 204.14/x
  3. Step 3: Cross multiply
    569.48x = 854.24 × 204.14
  4. Step 4: Simplify right side
    569.48x = 174,379.26
  5. Step 5: Solve for x
    x = 174,379.26/569.48
  6. Step 6: Final answer
    x = 306.21

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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.