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Finding the Fourth Proportional to 296.54, 409.64 and 255.54

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Solution

The fourth proportional to 296.54, 409.64 and 255.54 is: 353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.54 : 409.64 = 255.54 : x
  2. Step 2: Convert to fraction form
    296.54/409.64 = 255.54/x
  3. Step 3: Cross multiply
    296.54x = 409.64 × 255.54
  4. Step 4: Simplify right side
    296.54x = 104,678.13
  5. Step 5: Solve for x
    x = 104,678.13/296.54
  6. Step 6: Final answer
    x = 353.00

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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.