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Finding the Fourth Proportional to 429.87, 593.28 and 264.12

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Solution

The fourth proportional to 429.87, 593.28 and 264.12 is: 364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.87 : 593.28 = 264.12 : x
  2. Step 2: Convert to fraction form
    429.87/593.28 = 264.12/x
  3. Step 3: Cross multiply
    429.87x = 593.28 × 264.12
  4. Step 4: Simplify right side
    429.87x = 156,697.11
  5. Step 5: Solve for x
    x = 156,697.11/429.87
  6. Step 6: Final answer
    x = 364.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.