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Finding the Fourth Proportional to 301, 451.50 and 84.58

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Solution

The fourth proportional to 301, 451.50 and 84.58 is: 126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301 : 451.50 = 84.58 : x
  2. Step 2: Convert to fraction form
    301/451.50 = 84.58/x
  3. Step 3: Cross multiply
    301x = 451.50 × 84.58
  4. Step 4: Simplify right side
    301x = 38,187.87
  5. Step 5: Solve for x
    x = 38,187.87/301
  6. Step 6: Final answer
    x = 126.87

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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.