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Finding the Fourth Proportional to 585.48, 806.28 and 523.68

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Solution

The fourth proportional to 585.48, 806.28 and 523.68 is: 721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.48 : 806.28 = 523.68 : x
  2. Step 2: Convert to fraction form
    585.48/806.28 = 523.68/x
  3. Step 3: Cross multiply
    585.48x = 806.28 × 523.68
  4. Step 4: Simplify right side
    585.48x = 422,232.71
  5. Step 5: Solve for x
    x = 422,232.71/585.48
  6. Step 6: Final answer
    x = 721.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.