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Finding the Fourth Proportional to 522.44, 782.30 and 305.48

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Solution

The fourth proportional to 522.44, 782.30 and 305.48 is: 457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.44 : 782.30 = 305.48 : x
  2. Step 2: Convert to fraction form
    522.44/782.30 = 305.48/x
  3. Step 3: Cross multiply
    522.44x = 782.30 × 305.48
  4. Step 4: Simplify right side
    522.44x = 238,977.00
  5. Step 5: Solve for x
    x = 238,977.00/522.44
  6. Step 6: Final answer
    x = 457.42

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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.