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Finding the Fourth Proportional to 362.34, 541.08 and 301.68

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Solution

The fourth proportional to 362.34, 541.08 and 301.68 is: 450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.34 : 541.08 = 301.68 : x
  2. Step 2: Convert to fraction form
    362.34/541.08 = 301.68/x
  3. Step 3: Cross multiply
    362.34x = 541.08 × 301.68
  4. Step 4: Simplify right side
    362.34x = 163,233.01
  5. Step 5: Solve for x
    x = 163,233.01/362.34
  6. Step 6: Final answer
    x = 450.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.