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Finding the Fourth Proportional to 430.38, 593.76 and 264.54

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Solution

The fourth proportional to 430.38, 593.76 and 264.54 is: 364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.38 : 593.76 = 264.54 : x
  2. Step 2: Convert to fraction form
    430.38/593.76 = 264.54/x
  3. Step 3: Cross multiply
    430.38x = 593.76 × 264.54
  4. Step 4: Simplify right side
    430.38x = 157,073.27
  5. Step 5: Solve for x
    x = 157,073.27/430.38
  6. Step 6: Final answer
    x = 364.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.