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Finding the Fourth Proportional to 485.42, 670.24 and 299.16

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Solution

The fourth proportional to 485.42, 670.24 and 299.16 is: 413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.42 : 670.24 = 299.16 : x
  2. Step 2: Convert to fraction form
    485.42/670.24 = 299.16/x
  3. Step 3: Cross multiply
    485.42x = 670.24 × 299.16
  4. Step 4: Simplify right side
    485.42x = 200,509.00
  5. Step 5: Solve for x
    x = 200,509.00/485.42
  6. Step 6: Final answer
    x = 413.06

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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.