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Finding the Fourth Proportional to 430.31, 593.61 and 272.68

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Solution

The fourth proportional to 430.31, 593.61 and 272.68 is: 376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.31 : 593.61 = 272.68 : x
  2. Step 2: Convert to fraction form
    430.31/593.61 = 272.68/x
  3. Step 3: Cross multiply
    430.31x = 593.61 × 272.68
  4. Step 4: Simplify right side
    430.31x = 161,865.57
  5. Step 5: Solve for x
    x = 161,865.57/430.31
  6. Step 6: Final answer
    x = 376.16

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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.