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Finding the Fourth Proportional to 556.90, 768.46 and 308.16

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Solution

The fourth proportional to 556.90, 768.46 and 308.16 is: 425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.90 : 768.46 = 308.16 : x
  2. Step 2: Convert to fraction form
    556.90/768.46 = 308.16/x
  3. Step 3: Cross multiply
    556.90x = 768.46 × 308.16
  4. Step 4: Simplify right side
    556.90x = 236,808.63
  5. Step 5: Solve for x
    x = 236,808.63/556.90
  6. Step 6: Final answer
    x = 425.23

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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.