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Finding the Fourth Proportional to 499.25, 688.70 and 464.09

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Solution

The fourth proportional to 499.25, 688.70 and 464.09 is: 640.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.25 : 688.70 = 464.09 : x
  2. Step 2: Convert to fraction form
    499.25/688.70 = 464.09/x
  3. Step 3: Cross multiply
    499.25x = 688.70 × 464.09
  4. Step 4: Simplify right side
    499.25x = 319,613.02
  5. Step 5: Solve for x
    x = 319,613.02/499.25
  6. Step 6: Final answer
    x = 640.19

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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.