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Finding the Fourth Proportional to 548, 755.79 and 464.39

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Solution

The fourth proportional to 548, 755.79 and 464.39 is: 640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    548 : 755.79 = 464.39 : x
  2. Step 2: Convert to fraction form
    548/755.79 = 464.39/x
  3. Step 3: Cross multiply
    548x = 755.79 × 464.39
  4. Step 4: Simplify right side
    548x = 350,981.32
  5. Step 5: Solve for x
    x = 350,981.32/548
  6. Step 6: Final answer
    x = 640.48

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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.