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Finding the Fourth Proportional to 574.08, 859.50 and 457.44

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Solution

The fourth proportional to 574.08, 859.50 and 457.44 is: 684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.08 : 859.50 = 457.44 : x
  2. Step 2: Convert to fraction form
    574.08/859.50 = 457.44/x
  3. Step 3: Cross multiply
    574.08x = 859.50 × 457.44
  4. Step 4: Simplify right side
    574.08x = 393,169.68
  5. Step 5: Solve for x
    x = 393,169.68/574.08
  6. Step 6: Final answer
    x = 684.87

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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.