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Finding the Fourth Proportional to 522.93, 784.53 and 157.70

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Solution

The fourth proportional to 522.93, 784.53 and 157.70 is: 236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.93 : 784.53 = 157.70 : x
  2. Step 2: Convert to fraction form
    522.93/784.53 = 157.70/x
  3. Step 3: Cross multiply
    522.93x = 784.53 × 157.70
  4. Step 4: Simplify right side
    522.93x = 123,719.69
  5. Step 5: Solve for x
    x = 123,719.69/522.93
  6. Step 6: Final answer
    x = 236.59

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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.