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Finding the Fourth Proportional to 511.52, 705.11 and 432.54

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Solution

The fourth proportional to 511.52, 705.11 and 432.54 is: 596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.52 : 705.11 = 432.54 : x
  2. Step 2: Convert to fraction form
    511.52/705.11 = 432.54/x
  3. Step 3: Cross multiply
    511.52x = 705.11 × 432.54
  4. Step 4: Simplify right side
    511.52x = 304,986.12
  5. Step 5: Solve for x
    x = 304,986.12/511.52
  6. Step 6: Final answer
    x = 596.24

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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.