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Finding the Fourth Proportional to 305.30, 455.34 and 296.18

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Solution

The fourth proportional to 305.30, 455.34 and 296.18 is: 441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.30 : 455.34 = 296.18 : x
  2. Step 2: Convert to fraction form
    305.30/455.34 = 296.18/x
  3. Step 3: Cross multiply
    305.30x = 455.34 × 296.18
  4. Step 4: Simplify right side
    305.30x = 134,862.60
  5. Step 5: Solve for x
    x = 134,862.60/305.30
  6. Step 6: Final answer
    x = 441.74

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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.