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Finding the Fourth Proportional to 523.74, 785.42 and 158.40

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Solution

The fourth proportional to 523.74, 785.42 and 158.40 is: 237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 785.42 = 158.40 : x
  2. Step 2: Convert to fraction form
    523.74/785.42 = 158.40/x
  3. Step 3: Cross multiply
    523.74x = 785.42 × 158.40
  4. Step 4: Simplify right side
    523.74x = 124,409.74
  5. Step 5: Solve for x
    x = 124,409.74/523.74
  6. Step 6: Final answer
    x = 237.54

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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.