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Finding the Fourth Proportional to 556.92, 768.48 and 469.44

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Solution

The fourth proportional to 556.92, 768.48 and 469.44 is: 647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.92 : 768.48 = 469.44 : x
  2. Step 2: Convert to fraction form
    556.92/768.48 = 469.44/x
  3. Step 3: Cross multiply
    556.92x = 768.48 × 469.44
  4. Step 4: Simplify right side
    556.92x = 360,755.25
  5. Step 5: Solve for x
    x = 360,755.25/556.92
  6. Step 6: Final answer
    x = 647.77

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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.