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Finding the Fourth Proportional to 882.30, 1,322.94 and 265.88

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Solution

The fourth proportional to 882.30, 1,322.94 and 265.88 is: 398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.30 : 1,322.94 = 265.88 : x
  2. Step 2: Convert to fraction form
    882.30/1,322.94 = 265.88/x
  3. Step 3: Cross multiply
    882.30x = 1,322.94 × 265.88
  4. Step 4: Simplify right side
    882.30x = 351,743.29
  5. Step 5: Solve for x
    x = 351,743.29/882.30
  6. Step 6: Final answer
    x = 398.67

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Why These Related Problems?

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