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Finding the Fourth Proportional to 430.12, 593.26 and 264.28

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Solution

The fourth proportional to 430.12, 593.26 and 264.28 is: 364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.12 : 593.26 = 264.28 : x
  2. Step 2: Convert to fraction form
    430.12/593.26 = 264.28/x
  3. Step 3: Cross multiply
    430.12x = 593.26 × 264.28
  4. Step 4: Simplify right side
    430.12x = 156,786.75
  5. Step 5: Solve for x
    x = 156,786.75/430.12
  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.