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Finding the Fourth Proportional to 574.08, 859.28 and 379.25

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Solution

The fourth proportional to 574.08, 859.28 and 379.25 is: 567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.08 : 859.28 = 379.25 : x
  2. Step 2: Convert to fraction form
    574.08/859.28 = 379.25/x
  3. Step 3: Cross multiply
    574.08x = 859.28 × 379.25
  4. Step 4: Simplify right side
    574.08x = 325,881.94
  5. Step 5: Solve for x
    x = 325,881.94/574.08
  6. Step 6: Final answer
    x = 567.66

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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.