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Finding the Fourth Proportional to 577.67, 796.84 and 341.53

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Solution

The fourth proportional to 577.67, 796.84 and 341.53 is: 471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.67 : 796.84 = 341.53 : x
  2. Step 2: Convert to fraction form
    577.67/796.84 = 341.53/x
  3. Step 3: Cross multiply
    577.67x = 796.84 × 341.53
  4. Step 4: Simplify right side
    577.67x = 272,148.32
  5. Step 5: Solve for x
    x = 272,148.32/577.67
  6. Step 6: Final answer
    x = 471.12

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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.