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Finding the Fourth Proportional to 285.02, 426.93 and 233.42

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Solution

The fourth proportional to 285.02, 426.93 and 233.42 is: 349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.02 : 426.93 = 233.42 : x
  2. Step 2: Convert to fraction form
    285.02/426.93 = 233.42/x
  3. Step 3: Cross multiply
    285.02x = 426.93 × 233.42
  4. Step 4: Simplify right side
    285.02x = 99,654.00
  5. Step 5: Solve for x
    x = 99,654.00/285.02
  6. Step 6: Final answer
    x = 349.64

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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.