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Finding the Fourth Proportional to 606.24, 835.20 and 577.44

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Solution

The fourth proportional to 606.24, 835.20 and 577.44 is: 795.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.24 : 835.20 = 577.44 : x
  2. Step 2: Convert to fraction form
    606.24/835.20 = 577.44/x
  3. Step 3: Cross multiply
    606.24x = 835.20 × 577.44
  4. Step 4: Simplify right side
    606.24x = 482,277.89
  5. Step 5: Solve for x
    x = 482,277.89/606.24
  6. Step 6: Final answer
    x = 795.52

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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.