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Finding the Fourth Proportional to 333.24, 459.82 and 229.88

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Solution

The fourth proportional to 333.24, 459.82 and 229.88 is: 317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.24 : 459.82 = 229.88 : x
  2. Step 2: Convert to fraction form
    333.24/459.82 = 229.88/x
  3. Step 3: Cross multiply
    333.24x = 459.82 × 229.88
  4. Step 4: Simplify right side
    333.24x = 105,703.42
  5. Step 5: Solve for x
    x = 105,703.42/333.24
  6. Step 6: Final answer
    x = 317.20

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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.