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Finding the Fourth Proportional to 476.68, 657.59 and 299.86

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Solution

The fourth proportional to 476.68, 657.59 and 299.86 is: 413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.68 : 657.59 = 299.86 : x
  2. Step 2: Convert to fraction form
    476.68/657.59 = 299.86/x
  3. Step 3: Cross multiply
    476.68x = 657.59 × 299.86
  4. Step 4: Simplify right side
    476.68x = 197,183.74
  5. Step 5: Solve for x
    x = 197,183.74/476.68
  6. Step 6: Final answer
    x = 413.66

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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.