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Finding the Fourth Proportional to 577.70, 797.23 and 315.74

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Solution

The fourth proportional to 577.70, 797.23 and 315.74 is: 435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.70 : 797.23 = 315.74 : x
  2. Step 2: Convert to fraction form
    577.70/797.23 = 315.74/x
  3. Step 3: Cross multiply
    577.70x = 797.23 × 315.74
  4. Step 4: Simplify right side
    577.70x = 251,712.62
  5. Step 5: Solve for x
    x = 251,712.62/577.70
  6. Step 6: Final answer
    x = 435.71

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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.