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Finding the Fourth Proportional to 576.07, 794.21 and 458.43

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Solution

The fourth proportional to 576.07, 794.21 and 458.43 is: 632.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.07 : 794.21 = 458.43 : x
  2. Step 2: Convert to fraction form
    576.07/794.21 = 458.43/x
  3. Step 3: Cross multiply
    576.07x = 794.21 × 458.43
  4. Step 4: Simplify right side
    576.07x = 364,089.69
  5. Step 5: Solve for x
    x = 364,089.69/576.07
  6. Step 6: Final answer
    x = 632.02

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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.