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Finding the Fourth Proportional to 523.19, 784.13 and 214.70

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Solution

The fourth proportional to 523.19, 784.13 and 214.70 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.19 : 784.13 = 214.70 : x
  2. Step 2: Convert to fraction form
    523.19/784.13 = 214.70/x
  3. Step 3: Cross multiply
    523.19x = 784.13 × 214.70
  4. Step 4: Simplify right side
    523.19x = 168,347.72
  5. Step 5: Solve for x
    x = 168,347.72/523.19
  6. Step 6: Final answer
    x = 321.77

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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.