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Finding the Fourth Proportional to 522.83, 784.04 and 214.84

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Solution

The fourth proportional to 522.83, 784.04 and 214.84 is: 322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.83 : 784.04 = 214.84 : x
  2. Step 2: Convert to fraction form
    522.83/784.04 = 214.84/x
  3. Step 3: Cross multiply
    522.83x = 784.04 × 214.84
  4. Step 4: Simplify right side
    522.83x = 168,438.16
  5. Step 5: Solve for x
    x = 168,438.16/522.83
  6. Step 6: Final answer
    x = 322.17

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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.