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Finding the Fourth Proportional to 577.85, 797.73 and 356.93

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Solution

The fourth proportional to 577.85, 797.73 and 356.93 is: 492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.85 : 797.73 = 356.93 : x
  2. Step 2: Convert to fraction form
    577.85/797.73 = 356.93/x
  3. Step 3: Cross multiply
    577.85x = 797.73 × 356.93
  4. Step 4: Simplify right side
    577.85x = 284,733.77
  5. Step 5: Solve for x
    x = 284,733.77/577.85
  6. Step 6: Final answer
    x = 492.75

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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.