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Finding the Fourth Proportional to 585.24, 806.94 and 518.64

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Solution

The fourth proportional to 585.24, 806.94 and 518.64 is: 715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.24 : 806.94 = 518.64 : x
  2. Step 2: Convert to fraction form
    585.24/806.94 = 518.64/x
  3. Step 3: Cross multiply
    585.24x = 806.94 × 518.64
  4. Step 4: Simplify right side
    585.24x = 418,511.36
  5. Step 5: Solve for x
    x = 418,511.36/585.24
  6. Step 6: Final answer
    x = 715.11

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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.