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Finding the Fourth Proportional to 522.44, 783.96 and 392.84

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Solution

The fourth proportional to 522.44, 783.96 and 392.84 is: 589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.44 : 783.96 = 392.84 : x
  2. Step 2: Convert to fraction form
    522.44/783.96 = 392.84/x
  3. Step 3: Cross multiply
    522.44x = 783.96 × 392.84
  4. Step 4: Simplify right side
    522.44x = 307,970.85
  5. Step 5: Solve for x
    x = 307,970.85/522.44
  6. Step 6: Final answer
    x = 589.49

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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.