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Finding the Fourth Proportional to 430.82, 593.89 and 264.91

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Solution

The fourth proportional to 430.82, 593.89 and 264.91 is: 365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.82 : 593.89 = 264.91 : x
  2. Step 2: Convert to fraction form
    430.82/593.89 = 264.91/x
  3. Step 3: Cross multiply
    430.82x = 593.89 × 264.91
  4. Step 4: Simplify right side
    430.82x = 157,327.40
  5. Step 5: Solve for x
    x = 157,327.40/430.82
  6. Step 6: Final answer
    x = 365.18

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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.