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Finding the Fourth Proportional to 333.94, 460.73 and 264.01

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Solution

The fourth proportional to 333.94, 460.73 and 264.01 is: 364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.94 : 460.73 = 264.01 : x
  2. Step 2: Convert to fraction form
    333.94/460.73 = 264.01/x
  3. Step 3: Cross multiply
    333.94x = 460.73 × 264.01
  4. Step 4: Simplify right side
    333.94x = 121,636.84
  5. Step 5: Solve for x
    x = 121,636.84/333.94
  6. Step 6: Final answer
    x = 364.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.