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Finding the Fourth Proportional to 430.11, 593.24 and 347.09

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Solution

The fourth proportional to 430.11, 593.24 and 347.09 is: 478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.11 : 593.24 = 347.09 : x
  2. Step 2: Convert to fraction form
    430.11/593.24 = 347.09/x
  3. Step 3: Cross multiply
    430.11x = 593.24 × 347.09
  4. Step 4: Simplify right side
    430.11x = 205,902.97
  5. Step 5: Solve for x
    x = 205,902.97/430.11
  6. Step 6: Final answer
    x = 478.72

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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.