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Finding the Fourth Proportional to 574.14, 859.16 and 497.37

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Solution

The fourth proportional to 574.14, 859.16 and 497.37 is: 744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.14 : 859.16 = 497.37 : x
  2. Step 2: Convert to fraction form
    574.14/859.16 = 497.37/x
  3. Step 3: Cross multiply
    574.14x = 859.16 × 497.37
  4. Step 4: Simplify right side
    574.14x = 427,317.92
  5. Step 5: Solve for x
    x = 427,317.92/574.14
  6. Step 6: Final answer
    x = 744.27

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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.