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Finding the Fourth Proportional to 521.19, 777.21 and 442.82

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Solution

The fourth proportional to 521.19, 777.21 and 442.82 is: 660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.19 : 777.21 = 442.82 : x
  2. Step 2: Convert to fraction form
    521.19/777.21 = 442.82/x
  3. Step 3: Cross multiply
    521.19x = 777.21 × 442.82
  4. Step 4: Simplify right side
    521.19x = 344,164.13
  5. Step 5: Solve for x
    x = 344,164.13/521.19
  6. Step 6: Final answer
    x = 660.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.