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Finding the Fourth Proportional to 489.01, 732.83 and 228.91

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Solution

The fourth proportional to 489.01, 732.83 and 228.91 is: 343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.01 : 732.83 = 228.91 : x
  2. Step 2: Convert to fraction form
    489.01/732.83 = 228.91/x
  3. Step 3: Cross multiply
    489.01x = 732.83 × 228.91
  4. Step 4: Simplify right side
    489.01x = 167,752.12
  5. Step 5: Solve for x
    x = 167,752.12/489.01
  6. Step 6: Final answer
    x = 343.04

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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.