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Finding the Fourth Proportional to 318.96, 442.08 and 313.74

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Solution

The fourth proportional to 318.96, 442.08 and 313.74 is: 434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.96 : 442.08 = 313.74 : x
  2. Step 2: Convert to fraction form
    318.96/442.08 = 313.74/x
  3. Step 3: Cross multiply
    318.96x = 442.08 × 313.74
  4. Step 4: Simplify right side
    318.96x = 138,698.18
  5. Step 5: Solve for x
    x = 138,698.18/318.96
  6. Step 6: Final answer
    x = 434.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.