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Finding the Fourth Proportional to 296.06, 409.59 and 254.52

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Solution

The fourth proportional to 296.06, 409.59 and 254.52 is: 352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.06 : 409.59 = 254.52 : x
  2. Step 2: Convert to fraction form
    296.06/409.59 = 254.52/x
  3. Step 3: Cross multiply
    296.06x = 409.59 × 254.52
  4. Step 4: Simplify right side
    296.06x = 104,248.85
  5. Step 5: Solve for x
    x = 104,248.85/296.06
  6. Step 6: Final answer
    x = 352.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.