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Finding the Fourth Proportional to 515.59, 711.46 and 282.71

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Solution

The fourth proportional to 515.59, 711.46 and 282.71 is: 390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.59 : 711.46 = 282.71 : x
  2. Step 2: Convert to fraction form
    515.59/711.46 = 282.71/x
  3. Step 3: Cross multiply
    515.59x = 711.46 × 282.71
  4. Step 4: Simplify right side
    515.59x = 201,136.86
  5. Step 5: Solve for x
    x = 201,136.86/515.59
  6. Step 6: Final answer
    x = 390.11

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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.