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Finding the Fourth Proportional to 523.73, 788.48 and 433.82

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Solution

The fourth proportional to 523.73, 788.48 and 433.82 is: 653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.73 : 788.48 = 433.82 : x
  2. Step 2: Convert to fraction form
    523.73/788.48 = 433.82/x
  3. Step 3: Cross multiply
    523.73x = 788.48 × 433.82
  4. Step 4: Simplify right side
    523.73x = 342,052.28
  5. Step 5: Solve for x
    x = 342,052.28/523.73
  6. Step 6: Final answer
    x = 653.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.