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Finding the Fourth Proportional to 418.31, 577.08 and 294.05

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Solution

The fourth proportional to 418.31, 577.08 and 294.05 is: 405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.31 : 577.08 = 294.05 : x
  2. Step 2: Convert to fraction form
    418.31/577.08 = 294.05/x
  3. Step 3: Cross multiply
    418.31x = 577.08 × 294.05
  4. Step 4: Simplify right side
    418.31x = 169,688.57
  5. Step 5: Solve for x
    x = 169,688.57/418.31
  6. Step 6: Final answer
    x = 405.66

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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.