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Finding the Fourth Proportional to 522.96, 784.17 and 214.76

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Solution

The fourth proportional to 522.96, 784.17 and 214.76 is: 322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.96 : 784.17 = 214.76 : x
  2. Step 2: Convert to fraction form
    522.96/784.17 = 214.76/x
  3. Step 3: Cross multiply
    522.96x = 784.17 × 214.76
  4. Step 4: Simplify right side
    522.96x = 168,404.43
  5. Step 5: Solve for x
    x = 168,404.43/522.96
  6. Step 6: Final answer
    x = 322.02

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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.