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Finding the Fourth Proportional to 477.86, 659.30 and 281.38

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Solution

The fourth proportional to 477.86, 659.30 and 281.38 is: 388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.86 : 659.30 = 281.38 : x
  2. Step 2: Convert to fraction form
    477.86/659.30 = 281.38/x
  3. Step 3: Cross multiply
    477.86x = 659.30 × 281.38
  4. Step 4: Simplify right side
    477.86x = 185,513.83
  5. Step 5: Solve for x
    x = 185,513.83/477.86
  6. Step 6: Final answer
    x = 388.22

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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.