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Finding the Fourth Proportional to 523.49, 785.41 and 158.36

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Solution

The fourth proportional to 523.49, 785.41 and 158.36 is: 237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.49 : 785.41 = 158.36 : x
  2. Step 2: Convert to fraction form
    523.49/785.41 = 158.36/x
  3. Step 3: Cross multiply
    523.49x = 785.41 × 158.36
  4. Step 4: Simplify right side
    523.49x = 124,373.20
  5. Step 5: Solve for x
    x = 124,373.20/523.49
  6. Step 6: Final answer
    x = 237.59

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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.