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Finding the Fourth Proportional to 495.97, 684.63 and 330.40

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Solution

The fourth proportional to 495.97, 684.63 and 330.40 is: 456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.97 : 684.63 = 330.40 : x
  2. Step 2: Convert to fraction form
    495.97/684.63 = 330.40/x
  3. Step 3: Cross multiply
    495.97x = 684.63 × 330.40
  4. Step 4: Simplify right side
    495.97x = 226,201.75
  5. Step 5: Solve for x
    x = 226,201.75/495.97
  6. Step 6: Final answer
    x = 456.08

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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.