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Finding the Fourth Proportional to 577.07, 796.37 and 315.10

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Solution

The fourth proportional to 577.07, 796.37 and 315.10 is: 434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.07 : 796.37 = 315.10 : x
  2. Step 2: Convert to fraction form
    577.07/796.37 = 315.10/x
  3. Step 3: Cross multiply
    577.07x = 796.37 × 315.10
  4. Step 4: Simplify right side
    577.07x = 250,936.19
  5. Step 5: Solve for x
    x = 250,936.19/577.07
  6. Step 6: Final answer
    x = 434.85

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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.