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Finding the Fourth Proportional to 584.58, 806.58 and 397.74

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Solution

The fourth proportional to 584.58, 806.58 and 397.74 is: 548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.58 : 806.58 = 397.74 : x
  2. Step 2: Convert to fraction form
    584.58/806.58 = 397.74/x
  3. Step 3: Cross multiply
    584.58x = 806.58 × 397.74
  4. Step 4: Simplify right side
    584.58x = 320,809.13
  5. Step 5: Solve for x
    x = 320,809.13/584.58
  6. Step 6: Final answer
    x = 548.79

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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.