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Finding the Fourth Proportional to 522.73, 784.23 and 157.52

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Solution

The fourth proportional to 522.73, 784.23 and 157.52 is: 236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.73 : 784.23 = 157.52 : x
  2. Step 2: Convert to fraction form
    522.73/784.23 = 157.52/x
  3. Step 3: Cross multiply
    522.73x = 784.23 × 157.52
  4. Step 4: Simplify right side
    522.73x = 123,533.50
  5. Step 5: Solve for x
    x = 123,533.50/522.73
  6. Step 6: Final answer
    x = 236.32

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Double scale
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Similar ratio
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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.