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Finding the Fourth Proportional to 574.09, 859.97 and 354.02

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Solution

The fourth proportional to 574.09, 859.97 and 354.02 is: 530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.09 : 859.97 = 354.02 : x
  2. Step 2: Convert to fraction form
    574.09/859.97 = 354.02/x
  3. Step 3: Cross multiply
    574.09x = 859.97 × 354.02
  4. Step 4: Simplify right side
    574.09x = 304,446.01
  5. Step 5: Solve for x
    x = 304,446.01/574.09
  6. Step 6: Final answer
    x = 530.31

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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.