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Finding the Fourth Proportional to 585.73, 808.32 and 349.62

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Solution

The fourth proportional to 585.73, 808.32 and 349.62 is: 482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.73 : 808.32 = 349.62 : x
  2. Step 2: Convert to fraction form
    585.73/808.32 = 349.62/x
  3. Step 3: Cross multiply
    585.73x = 808.32 × 349.62
  4. Step 4: Simplify right side
    585.73x = 282,604.84
  5. Step 5: Solve for x
    x = 282,604.84/585.73
  6. Step 6: Final answer
    x = 482.48

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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.