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Finding the Fourth Proportional to 522.18, 783.38 and 214.03

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Solution

The fourth proportional to 522.18, 783.38 and 214.03 is: 321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.18 : 783.38 = 214.03 : x
  2. Step 2: Convert to fraction form
    522.18/783.38 = 214.03/x
  3. Step 3: Cross multiply
    522.18x = 783.38 × 214.03
  4. Step 4: Simplify right side
    522.18x = 167,666.11
  5. Step 5: Solve for x
    x = 167,666.11/522.18
  6. Step 6: Final answer
    x = 321.09

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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.