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Finding the Fourth Proportional to 521.82, 782.34 and 419.07

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Solution

The fourth proportional to 521.82, 782.34 and 419.07 is: 628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.82 : 782.34 = 419.07 : x
  2. Step 2: Convert to fraction form
    521.82/782.34 = 419.07/x
  3. Step 3: Cross multiply
    521.82x = 782.34 × 419.07
  4. Step 4: Simplify right side
    521.82x = 327,855.22
  5. Step 5: Solve for x
    x = 327,855.22/521.82
  6. Step 6: Final answer
    x = 628.29

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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.