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Finding the Fourth Proportional to 548.32, 822.56 and 259.52

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Solution

The fourth proportional to 548.32, 822.56 and 259.52 is: 389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.32 : 822.56 = 259.52 : x
  2. Step 2: Convert to fraction form
    548.32/822.56 = 259.52/x
  3. Step 3: Cross multiply
    548.32x = 822.56 × 259.52
  4. Step 4: Simplify right side
    548.32x = 213,470.77
  5. Step 5: Solve for x
    x = 213,470.77/548.32
  6. Step 6: Final answer
    x = 389.32

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Double scale
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Similar ratio
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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.