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Finding the Fourth Proportional to 522.94, 784.46 and 214.81

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Solution

The fourth proportional to 522.94, 784.46 and 214.81 is: 322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.94 : 784.46 = 214.81 : x
  2. Step 2: Convert to fraction form
    522.94/784.46 = 214.81/x
  3. Step 3: Cross multiply
    522.94x = 784.46 × 214.81
  4. Step 4: Simplify right side
    522.94x = 168,508.78
  5. Step 5: Solve for x
    x = 168,508.78/522.94
  6. Step 6: Final answer
    x = 322.23

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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.