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Finding the Fourth Proportional to 287.12, 430.44 and 230

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Solution

The fourth proportional to 287.12, 430.44 and 230 is: 344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.12 : 430.44 = 230 : x
  2. Step 2: Convert to fraction form
    287.12/430.44 = 230/x
  3. Step 3: Cross multiply
    287.12x = 430.44 × 230
  4. Step 4: Simplify right side
    287.12x = 99,001.20
  5. Step 5: Solve for x
    x = 99,001.20/287.12
  6. Step 6: Final answer
    x = 344.81

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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.