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Finding the Fourth Proportional to 498.34, 746.98 and 325.14

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Solution

The fourth proportional to 498.34, 746.98 and 325.14 is: 487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.34 : 746.98 = 325.14 : x
  2. Step 2: Convert to fraction form
    498.34/746.98 = 325.14/x
  3. Step 3: Cross multiply
    498.34x = 746.98 × 325.14
  4. Step 4: Simplify right side
    498.34x = 242,873.08
  5. Step 5: Solve for x
    x = 242,873.08/498.34
  6. Step 6: Final answer
    x = 487.36

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