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Finding the Fourth Proportional to 477.98, 659.60 and 281.52

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Solution

The fourth proportional to 477.98, 659.60 and 281.52 is: 388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.98 : 659.60 = 281.52 : x
  2. Step 2: Convert to fraction form
    477.98/659.60 = 281.52/x
  3. Step 3: Cross multiply
    477.98x = 659.60 × 281.52
  4. Step 4: Simplify right side
    477.98x = 185,690.59
  5. Step 5: Solve for x
    x = 185,690.59/477.98
  6. Step 6: Final answer
    x = 388.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.