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Finding the Fourth Proportional to 577.58, 797.12 and 341.60

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Solution

The fourth proportional to 577.58, 797.12 and 341.60 is: 471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.58 : 797.12 = 341.60 : x
  2. Step 2: Convert to fraction form
    577.58/797.12 = 341.60/x
  3. Step 3: Cross multiply
    577.58x = 797.12 × 341.60
  4. Step 4: Simplify right side
    577.58x = 272,296.48
  5. Step 5: Solve for x
    x = 272,296.48/577.58
  6. Step 6: Final answer
    x = 471.45

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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.