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Finding the Fourth Proportional to 585.85, 808.15 and 349.73

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Solution

The fourth proportional to 585.85, 808.15 and 349.73 is: 482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.85 : 808.15 = 349.73 : x
  2. Step 2: Convert to fraction form
    585.85/808.15 = 349.73/x
  3. Step 3: Cross multiply
    585.85x = 808.15 × 349.73
  4. Step 4: Simplify right side
    585.85x = 282,632.55
  5. Step 5: Solve for x
    x = 282,632.55/585.85
  6. Step 6: Final answer
    x = 482.43

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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.