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Finding the Fourth Proportional to 285.04, 426.60 and 233.08

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Solution

The fourth proportional to 285.04, 426.60 and 233.08 is: 348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.04 : 426.60 = 233.08 : x
  2. Step 2: Convert to fraction form
    285.04/426.60 = 233.08/x
  3. Step 3: Cross multiply
    285.04x = 426.60 × 233.08
  4. Step 4: Simplify right side
    285.04x = 99,431.93
  5. Step 5: Solve for x
    x = 99,431.93/285.04
  6. Step 6: Final answer
    x = 348.83

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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.