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Finding the Fourth Proportional to 390.63, 586.05 and 116.73

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Solution

The fourth proportional to 390.63, 586.05 and 116.73 is: 175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.63 : 586.05 = 116.73 : x
  2. Step 2: Convert to fraction form
    390.63/586.05 = 116.73/x
  3. Step 3: Cross multiply
    390.63x = 586.05 × 116.73
  4. Step 4: Simplify right side
    390.63x = 68,409.62
  5. Step 5: Solve for x
    x = 68,409.62/390.63
  6. Step 6: Final answer
    x = 175.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.