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Finding the Fourth Proportional to 387.81, 535.08 and 277.26

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Solution

The fourth proportional to 387.81, 535.08 and 277.26 is: 382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.81 : 535.08 = 277.26 : x
  2. Step 2: Convert to fraction form
    387.81/535.08 = 277.26/x
  3. Step 3: Cross multiply
    387.81x = 535.08 × 277.26
  4. Step 4: Simplify right side
    387.81x = 148,356.28
  5. Step 5: Solve for x
    x = 148,356.28/387.81
  6. Step 6: Final answer
    x = 382.55

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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.