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Finding the Fourth Proportional to 654.48, 979.43 and 394.61

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Solution

The fourth proportional to 654.48, 979.43 and 394.61 is: 590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.48 : 979.43 = 394.61 : x
  2. Step 2: Convert to fraction form
    654.48/979.43 = 394.61/x
  3. Step 3: Cross multiply
    654.48x = 979.43 × 394.61
  4. Step 4: Simplify right side
    654.48x = 386,486.00
  5. Step 5: Solve for x
    x = 386,486.00/654.48
  6. Step 6: Final answer
    x = 590.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.