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Finding the Fourth Proportional to 577.32, 796.38 and 356.12

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Solution

The fourth proportional to 577.32, 796.38 and 356.12 is: 491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.32 : 796.38 = 356.12 : x
  2. Step 2: Convert to fraction form
    577.32/796.38 = 356.12/x
  3. Step 3: Cross multiply
    577.32x = 796.38 × 356.12
  4. Step 4: Simplify right side
    577.32x = 283,602.86
  5. Step 5: Solve for x
    x = 283,602.86/577.32
  6. Step 6: Final answer
    x = 491.24

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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.