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Finding the Fourth Proportional to 574.10, 859.35 and 412.10

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Solution

The fourth proportional to 574.10, 859.35 and 412.10 is: 616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.10 : 859.35 = 412.10 : x
  2. Step 2: Convert to fraction form
    574.10/859.35 = 412.10/x
  3. Step 3: Cross multiply
    574.10x = 859.35 × 412.10
  4. Step 4: Simplify right side
    574.10x = 354,138.14
  5. Step 5: Solve for x
    x = 354,138.14/574.10
  6. Step 6: Final answer
    x = 616.86

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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.