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Finding the Fourth Proportional to 305.93, 458.42 and 236.69

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Solution

The fourth proportional to 305.93, 458.42 and 236.69 is: 354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.93 : 458.42 = 236.69 : x
  2. Step 2: Convert to fraction form
    305.93/458.42 = 236.69/x
  3. Step 3: Cross multiply
    305.93x = 458.42 × 236.69
  4. Step 4: Simplify right side
    305.93x = 108,502.25
  5. Step 5: Solve for x
    x = 108,502.25/305.93
  6. Step 6: Final answer
    x = 354.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.