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Finding the Fourth Proportional to 498.44, 750.32 and 453.80

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Solution

The fourth proportional to 498.44, 750.32 and 453.80 is: 683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.44 : 750.32 = 453.80 : x
  2. Step 2: Convert to fraction form
    498.44/750.32 = 453.80/x
  3. Step 3: Cross multiply
    498.44x = 750.32 × 453.80
  4. Step 4: Simplify right side
    498.44x = 340,495.22
  5. Step 5: Solve for x
    x = 340,495.22/498.44
  6. Step 6: Final answer
    x = 683.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.