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Finding the Fourth Proportional to 544.78, 751.80 and 296.10

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Solution

The fourth proportional to 544.78, 751.80 and 296.10 is: 408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.78 : 751.80 = 296.10 : x
  2. Step 2: Convert to fraction form
    544.78/751.80 = 296.10/x
  3. Step 3: Cross multiply
    544.78x = 751.80 × 296.10
  4. Step 4: Simplify right side
    544.78x = 222,602.74
  5. Step 5: Solve for x
    x = 222,602.74/544.78
  6. Step 6: Final answer
    x = 408.61

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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.