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Finding the Fourth Proportional to 556.54, 768.12 and 332.41

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Solution

The fourth proportional to 556.54, 768.12 and 332.41 is: 458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.54 : 768.12 = 332.41 : x
  2. Step 2: Convert to fraction form
    556.54/768.12 = 332.41/x
  3. Step 3: Cross multiply
    556.54x = 768.12 × 332.41
  4. Step 4: Simplify right side
    556.54x = 255,328.13
  5. Step 5: Solve for x
    x = 255,328.13/556.54
  6. Step 6: Final answer
    x = 458.78

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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.