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Finding the Fourth Proportional to 556.92, 836.12 and 460.44

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Solution

The fourth proportional to 556.92, 836.12 and 460.44 is: 691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.92 : 836.12 = 460.44 : x
  2. Step 2: Convert to fraction form
    556.92/836.12 = 460.44/x
  3. Step 3: Cross multiply
    556.92x = 836.12 × 460.44
  4. Step 4: Simplify right side
    556.92x = 384,983.09
  5. Step 5: Solve for x
    x = 384,983.09/556.92
  6. Step 6: Final answer
    x = 691.27

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