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Finding the Fourth Proportional to 429.24, 592.26 and 274.02

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Solution

The fourth proportional to 429.24, 592.26 and 274.02 is: 378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.24 : 592.26 = 274.02 : x
  2. Step 2: Convert to fraction form
    429.24/592.26 = 274.02/x
  3. Step 3: Cross multiply
    429.24x = 592.26 × 274.02
  4. Step 4: Simplify right side
    429.24x = 162,291.09
  5. Step 5: Solve for x
    x = 162,291.09/429.24
  6. Step 6: Final answer
    x = 378.09

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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.