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Finding the Fourth Proportional to 418.40, 577.36 and 409.76

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Solution

The fourth proportional to 418.40, 577.36 and 409.76 is: 565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.40 : 577.36 = 409.76 : x
  2. Step 2: Convert to fraction form
    418.40/577.36 = 409.76/x
  3. Step 3: Cross multiply
    418.40x = 577.36 × 409.76
  4. Step 4: Simplify right side
    418.40x = 236,579.03
  5. Step 5: Solve for x
    x = 236,579.03/418.40
  6. Step 6: Final answer
    x = 565.44

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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.