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Finding the Fourth Proportional to 521.44, 780.80 and 304.48

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Solution

The fourth proportional to 521.44, 780.80 and 304.48 is: 455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.44 : 780.80 = 304.48 : x
  2. Step 2: Convert to fraction form
    521.44/780.80 = 304.48/x
  3. Step 3: Cross multiply
    521.44x = 780.80 × 304.48
  4. Step 4: Simplify right side
    521.44x = 237,737.98
  5. Step 5: Solve for x
    x = 237,737.98/521.44
  6. Step 6: Final answer
    x = 455.93

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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.