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Finding the Fourth Proportional to 577.29, 796.64 and 315.30

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Solution

The fourth proportional to 577.29, 796.64 and 315.30 is: 435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.29 : 796.64 = 315.30 : x
  2. Step 2: Convert to fraction form
    577.29/796.64 = 315.30/x
  3. Step 3: Cross multiply
    577.29x = 796.64 × 315.30
  4. Step 4: Simplify right side
    577.29x = 251,180.59
  5. Step 5: Solve for x
    x = 251,180.59/577.29
  6. Step 6: Final answer
    x = 435.10

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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.