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Finding the Fourth Proportional to 523.94, 786.44 and 465.76

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Solution

The fourth proportional to 523.94, 786.44 and 465.76 is: 699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.94 : 786.44 = 465.76 : x
  2. Step 2: Convert to fraction form
    523.94/786.44 = 465.76/x
  3. Step 3: Cross multiply
    523.94x = 786.44 × 465.76
  4. Step 4: Simplify right side
    523.94x = 366,286.03
  5. Step 5: Solve for x
    x = 366,286.03/523.94
  6. Step 6: Final answer
    x = 699.10

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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.