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Finding the Fourth Proportional to 570.25, 855.38 and 228.49

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Solution

The fourth proportional to 570.25, 855.38 and 228.49 is: 342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.25 : 855.38 = 228.49 : x
  2. Step 2: Convert to fraction form
    570.25/855.38 = 228.49/x
  3. Step 3: Cross multiply
    570.25x = 855.38 × 228.49
  4. Step 4: Simplify right side
    570.25x = 195,445.78
  5. Step 5: Solve for x
    x = 195,445.78/570.25
  6. Step 6: Final answer
    x = 342.74

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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.