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Finding the Fourth Proportional to 450.12, 677.64 and 306.75

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Solution

The fourth proportional to 450.12, 677.64 and 306.75 is: 461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.12 : 677.64 = 306.75 : x
  2. Step 2: Convert to fraction form
    450.12/677.64 = 306.75/x
  3. Step 3: Cross multiply
    450.12x = 677.64 × 306.75
  4. Step 4: Simplify right side
    450.12x = 207,866.07
  5. Step 5: Solve for x
    x = 207,866.07/450.12
  6. Step 6: Final answer
    x = 461.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.