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Finding the Fourth Proportional to 577.56, 797.04 and 356.47

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Solution

The fourth proportional to 577.56, 797.04 and 356.47 is: 491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.56 : 797.04 = 356.47 : x
  2. Step 2: Convert to fraction form
    577.56/797.04 = 356.47/x
  3. Step 3: Cross multiply
    577.56x = 797.04 × 356.47
  4. Step 4: Simplify right side
    577.56x = 284,118.86
  5. Step 5: Solve for x
    x = 284,118.86/577.56
  6. Step 6: Final answer
    x = 491.93

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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.