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Finding the Fourth Proportional to 577.13, 796.43 and 315.14

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Solution

The fourth proportional to 577.13, 796.43 and 315.14 is: 434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.13 : 796.43 = 315.14 : x
  2. Step 2: Convert to fraction form
    577.13/796.43 = 315.14/x
  3. Step 3: Cross multiply
    577.13x = 796.43 × 315.14
  4. Step 4: Simplify right side
    577.13x = 250,988.24
  5. Step 5: Solve for x
    x = 250,988.24/577.13
  6. Step 6: Final answer
    x = 434.89

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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.