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Finding the Fourth Proportional to 608.61, 840.16 and 398.80

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Solution

The fourth proportional to 608.61, 840.16 and 398.80 is: 550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.61 : 840.16 = 398.80 : x
  2. Step 2: Convert to fraction form
    608.61/840.16 = 398.80/x
  3. Step 3: Cross multiply
    608.61x = 840.16 × 398.80
  4. Step 4: Simplify right side
    608.61x = 335,054.21
  5. Step 5: Solve for x
    x = 335,054.21/608.61
  6. Step 6: Final answer
    x = 550.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.