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Finding the Fourth Proportional to 556.86, 768.44 and 308.16

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Solution

The fourth proportional to 556.86, 768.44 and 308.16 is: 425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.86 : 768.44 = 308.16 : x
  2. Step 2: Convert to fraction form
    556.86/768.44 = 308.16/x
  3. Step 3: Cross multiply
    556.86x = 768.44 × 308.16
  4. Step 4: Simplify right side
    556.86x = 236,802.47
  5. Step 5: Solve for x
    x = 236,802.47/556.86
  6. Step 6: Final answer
    x = 425.25

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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.