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Finding the Fourth Proportional to 522.24, 784.32 and 426.24

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Solution

The fourth proportional to 522.24, 784.32 and 426.24 is: 640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.24 : 784.32 = 426.24 : x
  2. Step 2: Convert to fraction form
    522.24/784.32 = 426.24/x
  3. Step 3: Cross multiply
    522.24x = 784.32 × 426.24
  4. Step 4: Simplify right side
    522.24x = 334,308.56
  5. Step 5: Solve for x
    x = 334,308.56/522.24
  6. Step 6: Final answer
    x = 640.14

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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.