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Finding the Fourth Proportional to 450.34, 677.12 and 414.70

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Solution

The fourth proportional to 450.34, 677.12 and 414.70 is: 623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.34 : 677.12 = 414.70 : x
  2. Step 2: Convert to fraction form
    450.34/677.12 = 414.70/x
  3. Step 3: Cross multiply
    450.34x = 677.12 × 414.70
  4. Step 4: Simplify right side
    450.34x = 280,801.66
  5. Step 5: Solve for x
    x = 280,801.66/450.34
  6. Step 6: Final answer
    x = 623.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.