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Finding the Fourth Proportional to 458.20, 688.80 and 404.44

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Solution

The fourth proportional to 458.20, 688.80 and 404.44 is: 607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.20 : 688.80 = 404.44 : x
  2. Step 2: Convert to fraction form
    458.20/688.80 = 404.44/x
  3. Step 3: Cross multiply
    458.20x = 688.80 × 404.44
  4. Step 4: Simplify right side
    458.20x = 278,578.27
  5. Step 5: Solve for x
    x = 278,578.27/458.20
  6. Step 6: Final answer
    x = 607.98

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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.