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Finding the Fourth Proportional to 572.51, 858.23 and 225.78

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Solution

The fourth proportional to 572.51, 858.23 and 225.78 is: 338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.51 : 858.23 = 225.78 : x
  2. Step 2: Convert to fraction form
    572.51/858.23 = 225.78/x
  3. Step 3: Cross multiply
    572.51x = 858.23 × 225.78
  4. Step 4: Simplify right side
    572.51x = 193,771.17
  5. Step 5: Solve for x
    x = 193,771.17/572.51
  6. Step 6: Final answer
    x = 338.46

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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.