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Finding the Fourth Proportional to 577.06, 796.34 and 315.06

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Solution

The fourth proportional to 577.06, 796.34 and 315.06 is: 434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.06 : 796.34 = 315.06 : x
  2. Step 2: Convert to fraction form
    577.06/796.34 = 315.06/x
  3. Step 3: Cross multiply
    577.06x = 796.34 × 315.06
  4. Step 4: Simplify right side
    577.06x = 250,894.88
  5. Step 5: Solve for x
    x = 250,894.88/577.06
  6. Step 6: Final answer
    x = 434.78

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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.