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Finding the Fourth Proportional to 305.46, 456.29 and 294.66

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Solution

The fourth proportional to 305.46, 456.29 and 294.66 is: 440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.46 : 456.29 = 294.66 : x
  2. Step 2: Convert to fraction form
    305.46/456.29 = 294.66/x
  3. Step 3: Cross multiply
    305.46x = 456.29 × 294.66
  4. Step 4: Simplify right side
    305.46x = 134,450.41
  5. Step 5: Solve for x
    x = 134,450.41/305.46
  6. Step 6: Final answer
    x = 440.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.