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Finding the Fourth Proportional to 585.33, 806.69 and 518.13

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Solution

The fourth proportional to 585.33, 806.69 and 518.13 is: 714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.33 : 806.69 = 518.13 : x
  2. Step 2: Convert to fraction form
    585.33/806.69 = 518.13/x
  3. Step 3: Cross multiply
    585.33x = 806.69 × 518.13
  4. Step 4: Simplify right side
    585.33x = 417,971.59
  5. Step 5: Solve for x
    x = 417,971.59/585.33
  6. Step 6: Final answer
    x = 714.08

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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.