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Finding the Fourth Proportional to 576.11, 863.40 and 302.06

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Solution

The fourth proportional to 576.11, 863.40 and 302.06 is: 452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.11 : 863.40 = 302.06 : x
  2. Step 2: Convert to fraction form
    576.11/863.40 = 302.06/x
  3. Step 3: Cross multiply
    576.11x = 863.40 × 302.06
  4. Step 4: Simplify right side
    576.11x = 260,798.60
  5. Step 5: Solve for x
    x = 260,798.60/576.11
  6. Step 6: Final answer
    x = 452.69

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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.