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Finding the Fourth Proportional to 556.60, 768.13 and 320.61

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Solution

The fourth proportional to 556.60, 768.13 and 320.61 is: 442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.60 : 768.13 = 320.61 : x
  2. Step 2: Convert to fraction form
    556.60/768.13 = 320.61/x
  3. Step 3: Cross multiply
    556.60x = 768.13 × 320.61
  4. Step 4: Simplify right side
    556.60x = 246,269.72
  5. Step 5: Solve for x
    x = 246,269.72/556.60
  6. Step 6: Final answer
    x = 442.46

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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.