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Finding the Fourth Proportional to 523.05, 784.34 and 157.77

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Solution

The fourth proportional to 523.05, 784.34 and 157.77 is: 236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.05 : 784.34 = 157.77 : x
  2. Step 2: Convert to fraction form
    523.05/784.34 = 157.77/x
  3. Step 3: Cross multiply
    523.05x = 784.34 × 157.77
  4. Step 4: Simplify right side
    523.05x = 123,740.61
  5. Step 5: Solve for x
    x = 123,740.61/523.05
  6. Step 6: Final answer
    x = 236.58

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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.