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Finding the Fourth Proportional to 511.32, 704.52 and 432.72

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Solution

The fourth proportional to 511.32, 704.52 and 432.72 is: 596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.32 : 704.52 = 432.72 : x
  2. Step 2: Convert to fraction form
    511.32/704.52 = 432.72/x
  3. Step 3: Cross multiply
    511.32x = 704.52 × 432.72
  4. Step 4: Simplify right side
    511.32x = 304,859.89
  5. Step 5: Solve for x
    x = 304,859.89/511.32
  6. Step 6: Final answer
    x = 596.22

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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.