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Finding the Fourth Proportional to 303.15, 417.58 and 233.09

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Solution

The fourth proportional to 303.15, 417.58 and 233.09 is: 321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.15 : 417.58 = 233.09 : x
  2. Step 2: Convert to fraction form
    303.15/417.58 = 233.09/x
  3. Step 3: Cross multiply
    303.15x = 417.58 × 233.09
  4. Step 4: Simplify right side
    303.15x = 97,333.72
  5. Step 5: Solve for x
    x = 97,333.72/303.15
  6. Step 6: Final answer
    x = 321.07

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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.