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Finding the Fourth Proportional to 572.19, 857.76 and 225.83

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Solution

The fourth proportional to 572.19, 857.76 and 225.83 is: 338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.19 : 857.76 = 225.83 : x
  2. Step 2: Convert to fraction form
    572.19/857.76 = 225.83/x
  3. Step 3: Cross multiply
    572.19x = 857.76 × 225.83
  4. Step 4: Simplify right side
    572.19x = 193,703.65
  5. Step 5: Solve for x
    x = 193,703.65/572.19
  6. Step 6: Final answer
    x = 338.53

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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.