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Finding the Fourth Proportional to 523.97, 786.00 and 432.51

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Solution

The fourth proportional to 523.97, 786.00 and 432.51 is: 648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.97 : 786.00 = 432.51 : x
  2. Step 2: Convert to fraction form
    523.97/786.00 = 432.51/x
  3. Step 3: Cross multiply
    523.97x = 786.00 × 432.51
  4. Step 4: Simplify right side
    523.97x = 339,951.53
  5. Step 5: Solve for x
    x = 339,951.53/523.97
  6. Step 6: Final answer
    x = 648.80

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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.