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Finding the Fourth Proportional to 430.52, 593.81 and 264.51

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Solution

The fourth proportional to 430.52, 593.81 and 264.51 is: 364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.52 : 593.81 = 264.51 : x
  2. Step 2: Convert to fraction form
    430.52/593.81 = 264.51/x
  3. Step 3: Cross multiply
    430.52x = 593.81 × 264.51
  4. Step 4: Simplify right side
    430.52x = 157,067.36
  5. Step 5: Solve for x
    x = 157,067.36/430.52
  6. Step 6: Final answer
    x = 364.84

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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.