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Finding the Fourth Proportional to 522.77, 784.16 and 206.22

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Solution

The fourth proportional to 522.77, 784.16 and 206.22 is: 309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.77 : 784.16 = 206.22 : x
  2. Step 2: Convert to fraction form
    522.77/784.16 = 206.22/x
  3. Step 3: Cross multiply
    522.77x = 784.16 × 206.22
  4. Step 4: Simplify right side
    522.77x = 161,705.55
  5. Step 5: Solve for x
    x = 161,705.55/522.77
  6. Step 6: Final answer
    x = 309.33

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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.