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Finding the Fourth Proportional to 477.65, 659.29 and 281.27

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Solution

The fourth proportional to 477.65, 659.29 and 281.27 is: 388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.65 : 659.29 = 281.27 : x
  2. Step 2: Convert to fraction form
    477.65/659.29 = 281.27/x
  3. Step 3: Cross multiply
    477.65x = 659.29 × 281.27
  4. Step 4: Simplify right side
    477.65x = 185,439.97
  5. Step 5: Solve for x
    x = 185,439.97/477.65
  6. Step 6: Final answer
    x = 388.24

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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.