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Finding the Fourth Proportional to 577.94, 797.54 and 315.97

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Solution

The fourth proportional to 577.94, 797.54 and 315.97 is: 436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.94 : 797.54 = 315.97 : x
  2. Step 2: Convert to fraction form
    577.94/797.54 = 315.97/x
  3. Step 3: Cross multiply
    577.94x = 797.54 × 315.97
  4. Step 4: Simplify right side
    577.94x = 251,995.14
  5. Step 5: Solve for x
    x = 251,995.14/577.94
  6. Step 6: Final answer
    x = 436.03

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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.