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Finding the Fourth Proportional to 572.55, 790.16 and 323.85

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Solution

The fourth proportional to 572.55, 790.16 and 323.85 is: 446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.55 : 790.16 = 323.85 : x
  2. Step 2: Convert to fraction form
    572.55/790.16 = 323.85/x
  3. Step 3: Cross multiply
    572.55x = 790.16 × 323.85
  4. Step 4: Simplify right side
    572.55x = 255,891.70
  5. Step 5: Solve for x
    x = 255,891.70/572.55
  6. Step 6: Final answer
    x = 446.94

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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.