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Finding the Fourth Proportional to 522.94, 784.47 and 394.55

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Solution

The fourth proportional to 522.94, 784.47 and 394.55 is: 591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.94 : 784.47 = 394.55 : x
  2. Step 2: Convert to fraction form
    522.94/784.47 = 394.55/x
  3. Step 3: Cross multiply
    522.94x = 784.47 × 394.55
  4. Step 4: Simplify right side
    522.94x = 309,515.33
  5. Step 5: Solve for x
    x = 309,515.33/522.94
  6. Step 6: Final answer
    x = 591.88

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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.