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Finding the Fourth Proportional to 390.46, 585.52 and 184.79

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Solution

The fourth proportional to 390.46, 585.52 and 184.79 is: 277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.46 : 585.52 = 184.79 : x
  2. Step 2: Convert to fraction form
    390.46/585.52 = 184.79/x
  3. Step 3: Cross multiply
    390.46x = 585.52 × 184.79
  4. Step 4: Simplify right side
    390.46x = 108,198.24
  5. Step 5: Solve for x
    x = 108,198.24/390.46
  6. Step 6: Final answer
    x = 277.10

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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.