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Finding the Fourth Proportional to 755.16, 1,042.16 and 423.60

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Solution

The fourth proportional to 755.16, 1,042.16 and 423.60 is: 584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.16 : 1,042.16 = 423.60 : x
  2. Step 2: Convert to fraction form
    755.16/1,042.16 = 423.60/x
  3. Step 3: Cross multiply
    755.16x = 1,042.16 × 423.60
  4. Step 4: Simplify right side
    755.16x = 441,458.98
  5. Step 5: Solve for x
    x = 441,458.98/755.16
  6. Step 6: Final answer
    x = 584.59

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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.