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Finding the Fourth Proportional to 672.86, 1,009.40 and 234.16

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Solution

The fourth proportional to 672.86, 1,009.40 and 234.16 is: 351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.86 : 1,009.40 = 234.16 : x
  2. Step 2: Convert to fraction form
    672.86/1,009.40 = 234.16/x
  3. Step 3: Cross multiply
    672.86x = 1,009.40 × 234.16
  4. Step 4: Simplify right side
    672.86x = 236,361.10
  5. Step 5: Solve for x
    x = 236,361.10/672.86
  6. Step 6: Final answer
    x = 351.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.