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Finding the Fourth Proportional to 521.75, 782.21 and 305.07

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Solution

The fourth proportional to 521.75, 782.21 and 305.07 is: 457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.75 : 782.21 = 305.07 : x
  2. Step 2: Convert to fraction form
    521.75/782.21 = 305.07/x
  3. Step 3: Cross multiply
    521.75x = 782.21 × 305.07
  4. Step 4: Simplify right side
    521.75x = 238,629.57
  5. Step 5: Solve for x
    x = 238,629.57/521.75
  6. Step 6: Final answer
    x = 457.37

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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.