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Finding the Fourth Proportional to 486.07, 670.58 and 299.77

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Solution

The fourth proportional to 486.07, 670.58 and 299.77 is: 413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.07 : 670.58 = 299.77 : x
  2. Step 2: Convert to fraction form
    486.07/670.58 = 299.77/x
  3. Step 3: Cross multiply
    486.07x = 670.58 × 299.77
  4. Step 4: Simplify right side
    486.07x = 201,017.72
  5. Step 5: Solve for x
    x = 201,017.72/486.07
  6. Step 6: Final answer
    x = 413.56

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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.