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Finding the Fourth Proportional to 450.83, 621.80 and 301.52

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Solution

The fourth proportional to 450.83, 621.80 and 301.52 is: 415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.83 : 621.80 = 301.52 : x
  2. Step 2: Convert to fraction form
    450.83/621.80 = 301.52/x
  3. Step 3: Cross multiply
    450.83x = 621.80 × 301.52
  4. Step 4: Simplify right side
    450.83x = 187,485.14
  5. Step 5: Solve for x
    x = 187,485.14/450.83
  6. Step 6: Final answer
    x = 415.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.