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Finding the Fourth Proportional to 498.53, 746.58 and 411.33

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Solution

The fourth proportional to 498.53, 746.58 and 411.33 is: 615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.53 : 746.58 = 411.33 : x
  2. Step 2: Convert to fraction form
    498.53/746.58 = 411.33/x
  3. Step 3: Cross multiply
    498.53x = 746.58 × 411.33
  4. Step 4: Simplify right side
    498.53x = 307,088.69
  5. Step 5: Solve for x
    x = 307,088.69/498.53
  6. Step 6: Final answer
    x = 615.99

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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.