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Finding the Fourth Proportional to 298.10, 410.94 and 215.07

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Solution

The fourth proportional to 298.10, 410.94 and 215.07 is: 296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.10 : 410.94 = 215.07 : x
  2. Step 2: Convert to fraction form
    298.10/410.94 = 215.07/x
  3. Step 3: Cross multiply
    298.10x = 410.94 × 215.07
  4. Step 4: Simplify right side
    298.10x = 88,381.64
  5. Step 5: Solve for x
    x = 88,381.64/298.10
  6. Step 6: Final answer
    x = 296.49

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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.