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Finding the Fourth Proportional to 499.54, 689.30 and 324.76

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Solution

The fourth proportional to 499.54, 689.30 and 324.76 is: 448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.54 : 689.30 = 324.76 : x
  2. Step 2: Convert to fraction form
    499.54/689.30 = 324.76/x
  3. Step 3: Cross multiply
    499.54x = 689.30 × 324.76
  4. Step 4: Simplify right side
    499.54x = 223,857.07
  5. Step 5: Solve for x
    x = 223,857.07/499.54
  6. Step 6: Final answer
    x = 448.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.