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Finding the Fourth Proportional to 875.34, 1,313.22 and 298.22

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Solution

The fourth proportional to 875.34, 1,313.22 and 298.22 is: 447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.34 : 1,313.22 = 298.22 : x
  2. Step 2: Convert to fraction form
    875.34/1,313.22 = 298.22/x
  3. Step 3: Cross multiply
    875.34x = 1,313.22 × 298.22
  4. Step 4: Simplify right side
    875.34x = 391,621.90
  5. Step 5: Solve for x
    x = 391,621.90/875.34
  6. Step 6: Final answer
    x = 447.39

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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.