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Finding the Fourth Proportional to 522.63, 784.10 and 214.49

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Solution

The fourth proportional to 522.63, 784.10 and 214.49 is: 321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.63 : 784.10 = 214.49 : x
  2. Step 2: Convert to fraction form
    522.63/784.10 = 214.49/x
  3. Step 3: Cross multiply
    522.63x = 784.10 × 214.49
  4. Step 4: Simplify right side
    522.63x = 168,182.50
  5. Step 5: Solve for x
    x = 168,182.50/522.63
  6. Step 6: Final answer
    x = 321.80

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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.