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Finding the Fourth Proportional to 523.05, 788.69 and 463.51

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Solution

The fourth proportional to 523.05, 788.69 and 463.51 is: 698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.05 : 788.69 = 463.51 : x
  2. Step 2: Convert to fraction form
    523.05/788.69 = 463.51/x
  3. Step 3: Cross multiply
    523.05x = 788.69 × 463.51
  4. Step 4: Simplify right side
    523.05x = 365,565.70
  5. Step 5: Solve for x
    x = 365,565.70/523.05
  6. Step 6: Final answer
    x = 698.91

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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.