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Finding the Fourth Proportional to 556.68, 768.20 and 360.20

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Solution

The fourth proportional to 556.68, 768.20 and 360.20 is: 497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.68 : 768.20 = 360.20 : x
  2. Step 2: Convert to fraction form
    556.68/768.20 = 360.20/x
  3. Step 3: Cross multiply
    556.68x = 768.20 × 360.20
  4. Step 4: Simplify right side
    556.68x = 276,705.64
  5. Step 5: Solve for x
    x = 276,705.64/556.68
  6. Step 6: Final answer
    x = 497.06

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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.