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Finding the Fourth Proportional to 333.60, 457.44 and 322.02

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Solution

The fourth proportional to 333.60, 457.44 and 322.02 is: 441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.60 : 457.44 = 322.02 : x
  2. Step 2: Convert to fraction form
    333.60/457.44 = 322.02/x
  3. Step 3: Cross multiply
    333.60x = 457.44 × 322.02
  4. Step 4: Simplify right side
    333.60x = 147,304.83
  5. Step 5: Solve for x
    x = 147,304.83/333.60
  6. Step 6: Final answer
    x = 441.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.