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Finding the Fourth Proportional to 572.64, 790.25 and 310.66

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Solution

The fourth proportional to 572.64, 790.25 and 310.66 is: 428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.64 : 790.25 = 310.66 : x
  2. Step 2: Convert to fraction form
    572.64/790.25 = 310.66/x
  3. Step 3: Cross multiply
    572.64x = 790.25 × 310.66
  4. Step 4: Simplify right side
    572.64x = 245,499.07
  5. Step 5: Solve for x
    x = 245,499.07/572.64
  6. Step 6: Final answer
    x = 428.71

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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.