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Finding the Fourth Proportional to 577.69, 797.30 and 341.85

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Solution

The fourth proportional to 577.69, 797.30 and 341.85 is: 471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.69 : 797.30 = 341.85 : x
  2. Step 2: Convert to fraction form
    577.69/797.30 = 341.85/x
  3. Step 3: Cross multiply
    577.69x = 797.30 × 341.85
  4. Step 4: Simplify right side
    577.69x = 272,551.31
  5. Step 5: Solve for x
    x = 272,551.31/577.69
  6. Step 6: Final answer
    x = 471.80

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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.