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Finding the Fourth Proportional to 577.72, 865.05 and 404.59

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Solution

The fourth proportional to 577.72, 865.05 and 404.59 is: 605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.72 : 865.05 = 404.59 : x
  2. Step 2: Convert to fraction form
    577.72/865.05 = 404.59/x
  3. Step 3: Cross multiply
    577.72x = 865.05 × 404.59
  4. Step 4: Simplify right side
    577.72x = 349,990.58
  5. Step 5: Solve for x
    x = 349,990.58/577.72
  6. Step 6: Final answer
    x = 605.81

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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.