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Finding the Fourth Proportional to 522.91, 784.05 and 214.98

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Solution

The fourth proportional to 522.91, 784.05 and 214.98 is: 322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.91 : 784.05 = 214.98 : x
  2. Step 2: Convert to fraction form
    522.91/784.05 = 214.98/x
  3. Step 3: Cross multiply
    522.91x = 784.05 × 214.98
  4. Step 4: Simplify right side
    522.91x = 168,555.34
  5. Step 5: Solve for x
    x = 168,555.34/522.91
  6. Step 6: Final answer
    x = 322.34

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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.