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Finding the Fourth Proportional to 577.72, 865.77 and 456.22

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Solution

The fourth proportional to 577.72, 865.77 and 456.22 is: 683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.72 : 865.77 = 456.22 : x
  2. Step 2: Convert to fraction form
    577.72/865.77 = 456.22/x
  3. Step 3: Cross multiply
    577.72x = 865.77 × 456.22
  4. Step 4: Simplify right side
    577.72x = 394,981.59
  5. Step 5: Solve for x
    x = 394,981.59/577.72
  6. Step 6: Final answer
    x = 683.69

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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.