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Finding the Fourth Proportional to 498.69, 747.26 and 325.05

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Solution

The fourth proportional to 498.69, 747.26 and 325.05 is: 487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.69 : 747.26 = 325.05 : x
  2. Step 2: Convert to fraction form
    498.69/747.26 = 325.05/x
  3. Step 3: Cross multiply
    498.69x = 747.26 × 325.05
  4. Step 4: Simplify right side
    498.69x = 242,895.24
  5. Step 5: Solve for x
    x = 242,895.24/498.69
  6. Step 6: Final answer
    x = 487.07

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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.