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Finding the Fourth Proportional to 498.21, 687.59 and 285.55

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Solution

The fourth proportional to 498.21, 687.59 and 285.55 is: 394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.21 : 687.59 = 285.55 : x
  2. Step 2: Convert to fraction form
    498.21/687.59 = 285.55/x
  3. Step 3: Cross multiply
    498.21x = 687.59 × 285.55
  4. Step 4: Simplify right side
    498.21x = 196,341.32
  5. Step 5: Solve for x
    x = 196,341.32/498.21
  6. Step 6: Final answer
    x = 394.09

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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.