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Finding the Fourth Proportional to 499.25, 688.46 and 416.33

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Solution

The fourth proportional to 499.25, 688.46 and 416.33 is: 574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.25 : 688.46 = 416.33 : x
  2. Step 2: Convert to fraction form
    499.25/688.46 = 416.33/x
  3. Step 3: Cross multiply
    499.25x = 688.46 × 416.33
  4. Step 4: Simplify right side
    499.25x = 286,626.55
  5. Step 5: Solve for x
    x = 286,626.55/499.25
  6. Step 6: Final answer
    x = 574.11

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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.