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Finding the Fourth Proportional to 882.29, 1,322.97 and 334.17

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Solution

The fourth proportional to 882.29, 1,322.97 and 334.17 is: 501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.29 : 1,322.97 = 334.17 : x
  2. Step 2: Convert to fraction form
    882.29/1,322.97 = 334.17/x
  3. Step 3: Cross multiply
    882.29x = 1,322.97 × 334.17
  4. Step 4: Simplify right side
    882.29x = 442,096.88
  5. Step 5: Solve for x
    x = 442,096.88/882.29
  6. Step 6: Final answer
    x = 501.08

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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.