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Finding the Fourth Proportional to 302.54, 417.06 and 298.44

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Solution

The fourth proportional to 302.54, 417.06 and 298.44 is: 411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 417.06 = 298.44 : x
  2. Step 2: Convert to fraction form
    302.54/417.06 = 298.44/x
  3. Step 3: Cross multiply
    302.54x = 417.06 × 298.44
  4. Step 4: Simplify right side
    302.54x = 124,467.39
  5. Step 5: Solve for x
    x = 124,467.39/302.54
  6. Step 6: Final answer
    x = 411.41

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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.