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Finding the Fourth Proportional to 418.56, 577.56 and 263.28

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Solution

The fourth proportional to 418.56, 577.56 and 263.28 is: 363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.56 : 577.56 = 263.28 : x
  2. Step 2: Convert to fraction form
    418.56/577.56 = 263.28/x
  3. Step 3: Cross multiply
    418.56x = 577.56 × 263.28
  4. Step 4: Simplify right side
    418.56x = 152,060.00
  5. Step 5: Solve for x
    x = 152,060.00/418.56
  6. Step 6: Final answer
    x = 363.29

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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.