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Finding the Fourth Proportional to 305.09, 457.02 and 236.37

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Solution

The fourth proportional to 305.09, 457.02 and 236.37 is: 354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.09 : 457.02 = 236.37 : x
  2. Step 2: Convert to fraction form
    305.09/457.02 = 236.37/x
  3. Step 3: Cross multiply
    305.09x = 457.02 × 236.37
  4. Step 4: Simplify right side
    305.09x = 108,025.82
  5. Step 5: Solve for x
    x = 108,025.82/305.09
  6. Step 6: Final answer
    x = 354.08

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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.