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Finding the Fourth Proportional to 418.35, 577.94 and 415.11

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Solution

The fourth proportional to 418.35, 577.94 and 415.11 is: 573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.35 : 577.94 = 415.11 : x
  2. Step 2: Convert to fraction form
    418.35/577.94 = 415.11/x
  3. Step 3: Cross multiply
    418.35x = 577.94 × 415.11
  4. Step 4: Simplify right side
    418.35x = 239,908.67
  5. Step 5: Solve for x
    x = 239,908.67/418.35
  6. Step 6: Final answer
    x = 573.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.