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Finding the Fourth Proportional to 577.89, 797.14 and 420.34

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Solution

The fourth proportional to 577.89, 797.14 and 420.34 is: 579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.89 : 797.14 = 420.34 : x
  2. Step 2: Convert to fraction form
    577.89/797.14 = 420.34/x
  3. Step 3: Cross multiply
    577.89x = 797.14 × 420.34
  4. Step 4: Simplify right side
    577.89x = 335,069.83
  5. Step 5: Solve for x
    x = 335,069.83/577.89
  6. Step 6: Final answer
    x = 579.82

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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.