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Finding the Fourth Proportional to 522.56, 783.84 and 214.34

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Solution

The fourth proportional to 522.56, 783.84 and 214.34 is: 321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.56 : 783.84 = 214.34 : x
  2. Step 2: Convert to fraction form
    522.56/783.84 = 214.34/x
  3. Step 3: Cross multiply
    522.56x = 783.84 × 214.34
  4. Step 4: Simplify right side
    522.56x = 168,008.27
  5. Step 5: Solve for x
    x = 168,008.27/522.56
  6. Step 6: Final answer
    x = 321.51

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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.