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Finding the Fourth Proportional to 522.33, 783.29 and 214.34

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Solution

The fourth proportional to 522.33, 783.29 and 214.34 is: 321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.33 : 783.29 = 214.34 : x
  2. Step 2: Convert to fraction form
    522.33/783.29 = 214.34/x
  3. Step 3: Cross multiply
    522.33x = 783.29 × 214.34
  4. Step 4: Simplify right side
    522.33x = 167,885.39
  5. Step 5: Solve for x
    x = 167,885.39/522.33
  6. Step 6: Final answer
    x = 321.42

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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.