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Finding the Fourth Proportional to 483.30, 724.41 and 223.07

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Solution

The fourth proportional to 483.30, 724.41 and 223.07 is: 334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.30 : 724.41 = 223.07 : x
  2. Step 2: Convert to fraction form
    483.30/724.41 = 223.07/x
  3. Step 3: Cross multiply
    483.30x = 724.41 × 223.07
  4. Step 4: Simplify right side
    483.30x = 161,590.52
  5. Step 5: Solve for x
    x = 161,590.52/483.30
  6. Step 6: Final answer
    x = 334.35

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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.