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Finding the Fourth Proportional to 409.49, 564.93 and 278.60

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Solution

The fourth proportional to 409.49, 564.93 and 278.60 is: 384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.49 : 564.93 = 278.60 : x
  2. Step 2: Convert to fraction form
    409.49/564.93 = 278.60/x
  3. Step 3: Cross multiply
    409.49x = 564.93 × 278.60
  4. Step 4: Simplify right side
    409.49x = 157,389.50
  5. Step 5: Solve for x
    x = 157,389.50/409.49
  6. Step 6: Final answer
    x = 384.35

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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.