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Finding the Fourth Proportional to 577.34, 796.47 and 356.30

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Solution

The fourth proportional to 577.34, 796.47 and 356.30 is: 491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.34 : 796.47 = 356.30 : x
  2. Step 2: Convert to fraction form
    577.34/796.47 = 356.30/x
  3. Step 3: Cross multiply
    577.34x = 796.47 × 356.30
  4. Step 4: Simplify right side
    577.34x = 283,782.26
  5. Step 5: Solve for x
    x = 283,782.26/577.34
  6. Step 6: Final answer
    x = 491.53

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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.