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Finding the Fourth Proportional to 430.11, 593.28 and 264.33

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Solution

The fourth proportional to 430.11, 593.28 and 264.33 is: 364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.11 : 593.28 = 264.33 : x
  2. Step 2: Convert to fraction form
    430.11/593.28 = 264.33/x
  3. Step 3: Cross multiply
    430.11x = 593.28 × 264.33
  4. Step 4: Simplify right side
    430.11x = 156,821.70
  5. Step 5: Solve for x
    x = 156,821.70/430.11
  6. Step 6: Final answer
    x = 364.61

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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.