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Finding the Fourth Proportional to 577.06, 796.44 and 355.93

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Solution

The fourth proportional to 577.06, 796.44 and 355.93 is: 491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.06 : 796.44 = 355.93 : x
  2. Step 2: Convert to fraction form
    577.06/796.44 = 355.93/x
  3. Step 3: Cross multiply
    577.06x = 796.44 × 355.93
  4. Step 4: Simplify right side
    577.06x = 283,476.89
  5. Step 5: Solve for x
    x = 283,476.89/577.06
  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.