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Finding the Fourth Proportional to 882.23, 1,322.88 and 297.02

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Solution

The fourth proportional to 882.23, 1,322.88 and 297.02 is: 445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.23 : 1,322.88 = 297.02 : x
  2. Step 2: Convert to fraction form
    882.23/1,322.88 = 297.02/x
  3. Step 3: Cross multiply
    882.23x = 1,322.88 × 297.02
  4. Step 4: Simplify right side
    882.23x = 392,915.20
  5. Step 5: Solve for x
    x = 392,915.20/882.23
  6. Step 6: Final answer
    x = 445.37

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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.