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Finding the Fourth Proportional to 298.07, 410.78 and 215.03

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Solution

The fourth proportional to 298.07, 410.78 and 215.03 is: 296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.07 : 410.78 = 215.03 : x
  2. Step 2: Convert to fraction form
    298.07/410.78 = 215.03/x
  3. Step 3: Cross multiply
    298.07x = 410.78 × 215.03
  4. Step 4: Simplify right side
    298.07x = 88,326.89
  5. Step 5: Solve for x
    x = 88,326.89/298.07
  6. Step 6: Final answer
    x = 296.33

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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.