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Finding the Fourth Proportional to 570.42, 855.86 and 205.46

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Solution

The fourth proportional to 570.42, 855.86 and 205.46 is: 308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.42 : 855.86 = 205.46 : x
  2. Step 2: Convert to fraction form
    570.42/855.86 = 205.46/x
  3. Step 3: Cross multiply
    570.42x = 855.86 × 205.46
  4. Step 4: Simplify right side
    570.42x = 175,842.90
  5. Step 5: Solve for x
    x = 175,842.90/570.42
  6. Step 6: Final answer
    x = 308.27

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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.