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Finding the Fourth Proportional to 572.56, 790.13 and 310.57

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Solution

The fourth proportional to 572.56, 790.13 and 310.57 is: 428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.56 : 790.13 = 310.57 : x
  2. Step 2: Convert to fraction form
    572.56/790.13 = 310.57/x
  3. Step 3: Cross multiply
    572.56x = 790.13 × 310.57
  4. Step 4: Simplify right side
    572.56x = 245,391.27
  5. Step 5: Solve for x
    x = 245,391.27/572.56
  6. Step 6: Final answer
    x = 428.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.