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Finding the Fourth Proportional to 298.50, 412.47 and 233.50

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Solution

The fourth proportional to 298.50, 412.47 and 233.50 is: 322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.50 : 412.47 = 233.50 : x
  2. Step 2: Convert to fraction form
    298.50/412.47 = 233.50/x
  3. Step 3: Cross multiply
    298.50x = 412.47 × 233.50
  4. Step 4: Simplify right side
    298.50x = 96,310.83
  5. Step 5: Solve for x
    x = 96,310.83/298.50
  6. Step 6: Final answer
    x = 322.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.