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Finding the Fourth Proportional to 882.04, 1,322.88 and 304.72

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Solution

The fourth proportional to 882.04, 1,322.88 and 304.72 is: 457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.04 : 1,322.88 = 304.72 : x
  2. Step 2: Convert to fraction form
    882.04/1,322.88 = 304.72/x
  3. Step 3: Cross multiply
    882.04x = 1,322.88 × 304.72
  4. Step 4: Simplify right side
    882.04x = 403,107.99
  5. Step 5: Solve for x
    x = 403,107.99/882.04
  6. Step 6: Final answer
    x = 457.02

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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.