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Finding the Fourth Proportional to 884.04, 1,326.12 and 306.72

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Solution

The fourth proportional to 884.04, 1,326.12 and 306.72 is: 460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.04 : 1,326.12 = 306.72 : x
  2. Step 2: Convert to fraction form
    884.04/1,326.12 = 306.72/x
  3. Step 3: Cross multiply
    884.04x = 1,326.12 × 306.72
  4. Step 4: Simplify right side
    884.04x = 406,747.53
  5. Step 5: Solve for x
    x = 406,747.53/884.04
  6. Step 6: Final answer
    x = 460.10

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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.