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Finding the Fourth Proportional to 477.16, 658.29 and 300.06

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Solution

The fourth proportional to 477.16, 658.29 and 300.06 is: 413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.16 : 658.29 = 300.06 : x
  2. Step 2: Convert to fraction form
    477.16/658.29 = 300.06/x
  3. Step 3: Cross multiply
    477.16x = 658.29 × 300.06
  4. Step 4: Simplify right side
    477.16x = 197,525.37
  5. Step 5: Solve for x
    x = 197,525.37/477.16
  6. Step 6: Final answer
    x = 413.96

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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.