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Finding the Fourth Proportional to 522.42, 782.82 and 214.02

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Solution

The fourth proportional to 522.42, 782.82 and 214.02 is: 320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.42 : 782.82 = 214.02 : x
  2. Step 2: Convert to fraction form
    522.42/782.82 = 214.02/x
  3. Step 3: Cross multiply
    522.42x = 782.82 × 214.02
  4. Step 4: Simplify right side
    522.42x = 167,535.22
  5. Step 5: Solve for x
    x = 167,535.22/522.42
  6. Step 6: Final answer
    x = 320.69

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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.