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Finding the Fourth Proportional to 362.10, 541.93 and 301.35

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Solution

The fourth proportional to 362.10, 541.93 and 301.35 is: 451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.10 : 541.93 = 301.35 : x
  2. Step 2: Convert to fraction form
    362.10/541.93 = 301.35/x
  3. Step 3: Cross multiply
    362.10x = 541.93 × 301.35
  4. Step 4: Simplify right side
    362.10x = 163,310.61
  5. Step 5: Solve for x
    x = 163,310.61/362.10
  6. Step 6: Final answer
    x = 451.01

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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.