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Finding the Fourth Proportional to 515.63, 711.56 and 282.75

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Solution

The fourth proportional to 515.63, 711.56 and 282.75 is: 390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.63 : 711.56 = 282.75 : x
  2. Step 2: Convert to fraction form
    515.63/711.56 = 282.75/x
  3. Step 3: Cross multiply
    515.63x = 711.56 × 282.75
  4. Step 4: Simplify right side
    515.63x = 201,194.30
  5. Step 5: Solve for x
    x = 201,194.30/515.63
  6. Step 6: Final answer
    x = 390.20

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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.