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Finding the Fourth Proportional to 418.75, 577.47 and 379.51

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Solution

The fourth proportional to 418.75, 577.47 and 379.51 is: 523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.75 : 577.47 = 379.51 : x
  2. Step 2: Convert to fraction form
    418.75/577.47 = 379.51/x
  3. Step 3: Cross multiply
    418.75x = 577.47 × 379.51
  4. Step 4: Simplify right side
    418.75x = 219,155.64
  5. Step 5: Solve for x
    x = 219,155.64/418.75
  6. Step 6: Final answer
    x = 523.36

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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.