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Finding the Fourth Proportional to 882.30, 1,322.70 and 334.88

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Solution

The fourth proportional to 882.30, 1,322.70 and 334.88 is: 502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.30 : 1,322.70 = 334.88 : x
  2. Step 2: Convert to fraction form
    882.30/1,322.70 = 334.88/x
  3. Step 3: Cross multiply
    882.30x = 1,322.70 × 334.88
  4. Step 4: Simplify right side
    882.30x = 442,942.87
  5. Step 5: Solve for x
    x = 442,942.87/882.30
  6. Step 6: Final answer
    x = 502.03

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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.