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Finding the Fourth Proportional to 572.82, 790.49 and 310.83

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Solution

The fourth proportional to 572.82, 790.49 and 310.83 is: 428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.82 : 790.49 = 310.83 : x
  2. Step 2: Convert to fraction form
    572.82/790.49 = 310.83/x
  3. Step 3: Cross multiply
    572.82x = 790.49 × 310.83
  4. Step 4: Simplify right side
    572.82x = 245,707.23
  5. Step 5: Solve for x
    x = 245,707.23/572.82
  6. Step 6: Final answer
    x = 428.95

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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.