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Finding the Fourth Proportional to 390.40, 585.64 and 116.48

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Solution

The fourth proportional to 390.40, 585.64 and 116.48 is: 174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.40 : 585.64 = 116.48 : x
  2. Step 2: Convert to fraction form
    390.40/585.64 = 116.48/x
  3. Step 3: Cross multiply
    390.40x = 585.64 × 116.48
  4. Step 4: Simplify right side
    390.40x = 68,215.35
  5. Step 5: Solve for x
    x = 68,215.35/390.40
  6. Step 6: Final answer
    x = 174.73

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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.