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Finding the Fourth Proportional to 409.53, 565.35 and 279.22

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Solution

The fourth proportional to 409.53, 565.35 and 279.22 is: 385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.53 : 565.35 = 279.22 : x
  2. Step 2: Convert to fraction form
    409.53/565.35 = 279.22/x
  3. Step 3: Cross multiply
    409.53x = 565.35 × 279.22
  4. Step 4: Simplify right side
    409.53x = 157,858.78
  5. Step 5: Solve for x
    x = 157,858.78/409.53
  6. Step 6: Final answer
    x = 385.46

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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.