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Finding the Fourth Proportional to 572.46, 790.11 and 339.54

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Solution

The fourth proportional to 572.46, 790.11 and 339.54 is: 468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.46 : 790.11 = 339.54 : x
  2. Step 2: Convert to fraction form
    572.46/790.11 = 339.54/x
  3. Step 3: Cross multiply
    572.46x = 790.11 × 339.54
  4. Step 4: Simplify right side
    572.46x = 268,273.95
  5. Step 5: Solve for x
    x = 268,273.95/572.46
  6. Step 6: Final answer
    x = 468.63

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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.