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Finding the Fourth Proportional to 577.92, 797.40 and 345.12

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Solution

The fourth proportional to 577.92, 797.40 and 345.12 is: 476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.92 : 797.40 = 345.12 : x
  2. Step 2: Convert to fraction form
    577.92/797.40 = 345.12/x
  3. Step 3: Cross multiply
    577.92x = 797.40 × 345.12
  4. Step 4: Simplify right side
    577.92x = 275,198.69
  5. Step 5: Solve for x
    x = 275,198.69/577.92
  6. Step 6: Final answer
    x = 476.19

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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.