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Finding the Fourth Proportional to 421.74, 581.40 and 333.36

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Solution

The fourth proportional to 421.74, 581.40 and 333.36 is: 459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.74 : 581.40 = 333.36 : x
  2. Step 2: Convert to fraction form
    421.74/581.40 = 333.36/x
  3. Step 3: Cross multiply
    421.74x = 581.40 × 333.36
  4. Step 4: Simplify right side
    421.74x = 193,815.50
  5. Step 5: Solve for x
    x = 193,815.50/421.74
  6. Step 6: Final answer
    x = 459.56

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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.