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Finding the Fourth Proportional to 577.76, 797.44 and 345.02

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Solution

The fourth proportional to 577.76, 797.44 and 345.02 is: 476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.76 : 797.44 = 345.02 : x
  2. Step 2: Convert to fraction form
    577.76/797.44 = 345.02/x
  3. Step 3: Cross multiply
    577.76x = 797.44 × 345.02
  4. Step 4: Simplify right side
    577.76x = 275,132.75
  5. Step 5: Solve for x
    x = 275,132.75/577.76
  6. Step 6: Final answer
    x = 476.21

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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.