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Finding the Fourth Proportional to 577.78, 865.86 and 415.11

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Solution

The fourth proportional to 577.78, 865.86 and 415.11 is: 622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.78 : 865.86 = 415.11 : x
  2. Step 2: Convert to fraction form
    577.78/865.86 = 415.11/x
  3. Step 3: Cross multiply
    577.78x = 865.86 × 415.11
  4. Step 4: Simplify right side
    577.78x = 359,427.14
  5. Step 5: Solve for x
    x = 359,427.14/577.78
  6. Step 6: Final answer
    x = 622.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.