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Finding the Fourth Proportional to 498.08, 685.88 and 427.60

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Solution

The fourth proportional to 498.08, 685.88 and 427.60 is: 588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.08 : 685.88 = 427.60 : x
  2. Step 2: Convert to fraction form
    498.08/685.88 = 427.60/x
  3. Step 3: Cross multiply
    498.08x = 685.88 × 427.60
  4. Step 4: Simplify right side
    498.08x = 293,282.29
  5. Step 5: Solve for x
    x = 293,282.29/498.08
  6. Step 6: Final answer
    x = 588.83

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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.