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Finding the Fourth Proportional to 499.08, 689.24 and 412.68

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Solution

The fourth proportional to 499.08, 689.24 and 412.68 is: 569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.08 : 689.24 = 412.68 : x
  2. Step 2: Convert to fraction form
    499.08/689.24 = 412.68/x
  3. Step 3: Cross multiply
    499.08x = 689.24 × 412.68
  4. Step 4: Simplify right side
    499.08x = 284,435.56
  5. Step 5: Solve for x
    x = 284,435.56/499.08
  6. Step 6: Final answer
    x = 569.92

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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.