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Finding the Fourth Proportional to 429.36, 591.30 and 369.87

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Solution

The fourth proportional to 429.36, 591.30 and 369.87 is: 509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.36 : 591.30 = 369.87 : x
  2. Step 2: Convert to fraction form
    429.36/591.30 = 369.87/x
  3. Step 3: Cross multiply
    429.36x = 591.30 × 369.87
  4. Step 4: Simplify right side
    429.36x = 218,704.13
  5. Step 5: Solve for x
    x = 218,704.13/429.36
  6. Step 6: Final answer
    x = 509.37

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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.