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Finding the Fourth Proportional to 523.93, 785.98 and 211.59

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Solution

The fourth proportional to 523.93, 785.98 and 211.59 is: 317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.93 : 785.98 = 211.59 : x
  2. Step 2: Convert to fraction form
    523.93/785.98 = 211.59/x
  3. Step 3: Cross multiply
    523.93x = 785.98 × 211.59
  4. Step 4: Simplify right side
    523.93x = 166,302.83
  5. Step 5: Solve for x
    x = 166,302.83/523.93
  6. Step 6: Final answer
    x = 317.41

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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.