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Finding the Fourth Proportional to 333.72, 460.08 and 285.12

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Solution

The fourth proportional to 333.72, 460.08 and 285.12 is: 393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.72 : 460.08 = 285.12 : x
  2. Step 2: Convert to fraction form
    333.72/460.08 = 285.12/x
  3. Step 3: Cross multiply
    333.72x = 460.08 × 285.12
  4. Step 4: Simplify right side
    333.72x = 131,178.01
  5. Step 5: Solve for x
    x = 131,178.01/333.72
  6. Step 6: Final answer
    x = 393.08

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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.