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Finding the Fourth Proportional to 584.48, 806.34 and 351.56

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Solution

The fourth proportional to 584.48, 806.34 and 351.56 is: 485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.48 : 806.34 = 351.56 : x
  2. Step 2: Convert to fraction form
    584.48/806.34 = 351.56/x
  3. Step 3: Cross multiply
    584.48x = 806.34 × 351.56
  4. Step 4: Simplify right side
    584.48x = 283,476.89
  5. Step 5: Solve for x
    x = 283,476.89/584.48
  6. Step 6: Final answer
    x = 485.01

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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.