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Finding the Fourth Proportional to 576.06, 863.46 and 302.10

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Solution

The fourth proportional to 576.06, 863.46 and 302.10 is: 452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.06 : 863.46 = 302.10 : x
  2. Step 2: Convert to fraction form
    576.06/863.46 = 302.10/x
  3. Step 3: Cross multiply
    576.06x = 863.46 × 302.10
  4. Step 4: Simplify right side
    576.06x = 260,851.27
  5. Step 5: Solve for x
    x = 260,851.27/576.06
  6. Step 6: Final answer
    x = 452.82

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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.