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Finding the Fourth Proportional to 333.47, 459.33 and 235.06

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Solution

The fourth proportional to 333.47, 459.33 and 235.06 is: 323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.47 : 459.33 = 235.06 : x
  2. Step 2: Convert to fraction form
    333.47/459.33 = 235.06/x
  3. Step 3: Cross multiply
    333.47x = 459.33 × 235.06
  4. Step 4: Simplify right side
    333.47x = 107,970.11
  5. Step 5: Solve for x
    x = 107,970.11/333.47
  6. Step 6: Final answer
    x = 323.78

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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.