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Finding the Fourth Proportional to 305.83, 458.56 and 208.45

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Solution

The fourth proportional to 305.83, 458.56 and 208.45 is: 312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.83 : 458.56 = 208.45 : x
  2. Step 2: Convert to fraction form
    305.83/458.56 = 208.45/x
  3. Step 3: Cross multiply
    305.83x = 458.56 × 208.45
  4. Step 4: Simplify right side
    305.83x = 95,585.16
  5. Step 5: Solve for x
    x = 95,585.16/305.83
  6. Step 6: Final answer
    x = 312.55

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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.