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Finding the Fourth Proportional to 522.66, 782.96 and 275.49

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Solution

The fourth proportional to 522.66, 782.96 and 275.49 is: 412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.66 : 782.96 = 275.49 : x
  2. Step 2: Convert to fraction form
    522.66/782.96 = 275.49/x
  3. Step 3: Cross multiply
    522.66x = 782.96 × 275.49
  4. Step 4: Simplify right side
    522.66x = 215,696.27
  5. Step 5: Solve for x
    x = 215,696.27/522.66
  6. Step 6: Final answer
    x = 412.69

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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.