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Finding the Fourth Proportional to 522.34, 782.97 and 340.09

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Solution

The fourth proportional to 522.34, 782.97 and 340.09 is: 509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.34 : 782.97 = 340.09 : x
  2. Step 2: Convert to fraction form
    522.34/782.97 = 340.09/x
  3. Step 3: Cross multiply
    522.34x = 782.97 × 340.09
  4. Step 4: Simplify right side
    522.34x = 266,280.27
  5. Step 5: Solve for x
    x = 266,280.27/522.34
  6. Step 6: Final answer
    x = 509.78

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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.