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Finding the Fourth Proportional to 499.26, 687.51 and 429.23

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Solution

The fourth proportional to 499.26, 687.51 and 429.23 is: 591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.26 : 687.51 = 429.23 : x
  2. Step 2: Convert to fraction form
    499.26/687.51 = 429.23/x
  3. Step 3: Cross multiply
    499.26x = 687.51 × 429.23
  4. Step 4: Simplify right side
    499.26x = 295,101.64
  5. Step 5: Solve for x
    x = 295,101.64/499.26
  6. Step 6: Final answer
    x = 591.08

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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.