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Finding the Fourth Proportional to 572.57, 790.15 and 310.59

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Solution

The fourth proportional to 572.57, 790.15 and 310.59 is: 428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.57 : 790.15 = 310.59 : x
  2. Step 2: Convert to fraction form
    572.57/790.15 = 310.59/x
  3. Step 3: Cross multiply
    572.57x = 790.15 × 310.59
  4. Step 4: Simplify right side
    572.57x = 245,412.69
  5. Step 5: Solve for x
    x = 245,412.69/572.57
  6. Step 6: Final answer
    x = 428.62

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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.