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Finding the Fourth Proportional to 570.05, 854.57 and 204.75

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Solution

The fourth proportional to 570.05, 854.57 and 204.75 is: 306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.05 : 854.57 = 204.75 : x
  2. Step 2: Convert to fraction form
    570.05/854.57 = 204.75/x
  3. Step 3: Cross multiply
    570.05x = 854.57 × 204.75
  4. Step 4: Simplify right side
    570.05x = 174,972.18
  5. Step 5: Solve for x
    x = 174,972.18/570.05
  6. Step 6: Final answer
    x = 306.94

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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.