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Finding the Fourth Proportional to 572.68, 857.40 and 377.92

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Solution

The fourth proportional to 572.68, 857.40 and 377.92 is: 565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.68 : 857.40 = 377.92 : x
  2. Step 2: Convert to fraction form
    572.68/857.40 = 377.92/x
  3. Step 3: Cross multiply
    572.68x = 857.40 × 377.92
  4. Step 4: Simplify right side
    572.68x = 324,028.61
  5. Step 5: Solve for x
    x = 324,028.61/572.68
  6. Step 6: Final answer
    x = 565.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.