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Finding the Fourth Proportional to 522.48, 783.42 and 214.22

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Solution

The fourth proportional to 522.48, 783.42 and 214.22 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.48 : 783.42 = 214.22 : x
  2. Step 2: Convert to fraction form
    522.48/783.42 = 214.22/x
  3. Step 3: Cross multiply
    522.48x = 783.42 × 214.22
  4. Step 4: Simplify right side
    522.48x = 167,824.23
  5. Step 5: Solve for x
    x = 167,824.23/522.48
  6. Step 6: Final answer
    x = 321.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.