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Finding the Fourth Proportional to 556.20, 838.06 and 460.82

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Solution

The fourth proportional to 556.20, 838.06 and 460.82 is: 694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.20 : 838.06 = 460.82 : x
  2. Step 2: Convert to fraction form
    556.20/838.06 = 460.82/x
  3. Step 3: Cross multiply
    556.20x = 838.06 × 460.82
  4. Step 4: Simplify right side
    556.20x = 386,195.75
  5. Step 5: Solve for x
    x = 386,195.75/556.20
  6. Step 6: Final answer
    x = 694.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.