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Finding the Fourth Proportional to 495.84, 684.18 and 299.36

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Solution

The fourth proportional to 495.84, 684.18 and 299.36 is: 413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.84 : 684.18 = 299.36 : x
  2. Step 2: Convert to fraction form
    495.84/684.18 = 299.36/x
  3. Step 3: Cross multiply
    495.84x = 684.18 × 299.36
  4. Step 4: Simplify right side
    495.84x = 204,816.12
  5. Step 5: Solve for x
    x = 204,816.12/495.84
  6. Step 6: Final answer
    x = 413.07

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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.