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Finding the Fourth Proportional to 430.26, 593.64 and 264.44

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Solution

The fourth proportional to 430.26, 593.64 and 264.44 is: 364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.26 : 593.64 = 264.44 : x
  2. Step 2: Convert to fraction form
    430.26/593.64 = 264.44/x
  3. Step 3: Cross multiply
    430.26x = 593.64 × 264.44
  4. Step 4: Simplify right side
    430.26x = 156,979.19
  5. Step 5: Solve for x
    x = 156,979.19/430.26
  6. Step 6: Final answer
    x = 364.85

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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.