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Finding the Fourth Proportional to 570.60, 856.01 and 205.38

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Solution

The fourth proportional to 570.60, 856.01 and 205.38 is: 308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.60 : 856.01 = 205.38 : x
  2. Step 2: Convert to fraction form
    570.60/856.01 = 205.38/x
  3. Step 3: Cross multiply
    570.60x = 856.01 × 205.38
  4. Step 4: Simplify right side
    570.60x = 175,807.33
  5. Step 5: Solve for x
    x = 175,807.33/570.60
  6. Step 6: Final answer
    x = 308.11

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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.