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Finding the Fourth Proportional to 877.35, 1,316.31 and 300.21

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Solution

The fourth proportional to 877.35, 1,316.31 and 300.21 is: 450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.35 : 1,316.31 = 300.21 : x
  2. Step 2: Convert to fraction form
    877.35/1,316.31 = 300.21/x
  3. Step 3: Cross multiply
    877.35x = 1,316.31 × 300.21
  4. Step 4: Simplify right side
    877.35x = 395,169.43
  5. Step 5: Solve for x
    x = 395,169.43/877.35
  6. Step 6: Final answer
    x = 450.41

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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.