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Finding the Fourth Proportional to 576.06, 794.20 and 458.44

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Solution

The fourth proportional to 576.06, 794.20 and 458.44 is: 632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.06 : 794.20 = 458.44 : x
  2. Step 2: Convert to fraction form
    576.06/794.20 = 458.44/x
  3. Step 3: Cross multiply
    576.06x = 794.20 × 458.44
  4. Step 4: Simplify right side
    576.06x = 364,093.05
  5. Step 5: Solve for x
    x = 364,093.05/576.06
  6. Step 6: Final answer
    x = 632.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.