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Finding the Fourth Proportional to 522.89, 784.09 and 193.60

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Solution

The fourth proportional to 522.89, 784.09 and 193.60 is: 290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.89 : 784.09 = 193.60 : x
  2. Step 2: Convert to fraction form
    522.89/784.09 = 193.60/x
  3. Step 3: Cross multiply
    522.89x = 784.09 × 193.60
  4. Step 4: Simplify right side
    522.89x = 151,794.94
  5. Step 5: Solve for x
    x = 151,794.94/522.89
  6. Step 6: Final answer
    x = 290.30

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1.5x scale

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.