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Finding the Fourth Proportional to 495.95, 684.59 and 299.45

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Solution

The fourth proportional to 495.95, 684.59 and 299.45 is: 413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.95 : 684.59 = 299.45 : x
  2. Step 2: Convert to fraction form
    495.95/684.59 = 299.45/x
  3. Step 3: Cross multiply
    495.95x = 684.59 × 299.45
  4. Step 4: Simplify right side
    495.95x = 205,000.69
  5. Step 5: Solve for x
    x = 205,000.69/495.95
  6. Step 6: Final answer
    x = 413.35

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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.