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Finding the Fourth Proportional to 572.72, 858.84 and 207.28

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Solution

The fourth proportional to 572.72, 858.84 and 207.28 is: 310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.72 : 858.84 = 207.28 : x
  2. Step 2: Convert to fraction form
    572.72/858.84 = 207.28/x
  3. Step 3: Cross multiply
    572.72x = 858.84 × 207.28
  4. Step 4: Simplify right side
    572.72x = 178,020.36
  5. Step 5: Solve for x
    x = 178,020.36/572.72
  6. Step 6: Final answer
    x = 310.83

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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.