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Finding the Fourth Proportional to 522.12, 782.94 and 214.12

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Solution

The fourth proportional to 522.12, 782.94 and 214.12 is: 321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.12 : 782.94 = 214.12 : x
  2. Step 2: Convert to fraction form
    522.12/782.94 = 214.12/x
  3. Step 3: Cross multiply
    522.12x = 782.94 × 214.12
  4. Step 4: Simplify right side
    522.12x = 167,643.11
  5. Step 5: Solve for x
    x = 167,643.11/522.12
  6. Step 6: Final answer
    x = 321.08

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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.