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Finding the Fourth Proportional to 576.80, 859.08 and 574.01

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Solution

The fourth proportional to 576.80, 859.08 and 574.01 is: 854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.80 : 859.08 = 574.01 : x
  2. Step 2: Convert to fraction form
    576.80/859.08 = 574.01/x
  3. Step 3: Cross multiply
    576.80x = 859.08 × 574.01
  4. Step 4: Simplify right side
    576.80x = 493,120.51
  5. Step 5: Solve for x
    x = 493,120.51/576.80
  6. Step 6: Final answer
    x = 854.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.