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Finding the Fourth Proportional to 574.05, 860.16 and 265.74

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Solution

The fourth proportional to 574.05, 860.16 and 265.74 is: 398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.05 : 860.16 = 265.74 : x
  2. Step 2: Convert to fraction form
    574.05/860.16 = 265.74/x
  3. Step 3: Cross multiply
    574.05x = 860.16 × 265.74
  4. Step 4: Simplify right side
    574.05x = 228,578.92
  5. Step 5: Solve for x
    x = 228,578.92/574.05
  6. Step 6: Final answer
    x = 398.19

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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.