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Finding the Fourth Proportional to 790.43, 1,184.49 and 302.94

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Solution

The fourth proportional to 790.43, 1,184.49 and 302.94 is: 453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.43 : 1,184.49 = 302.94 : x
  2. Step 2: Convert to fraction form
    790.43/1,184.49 = 302.94/x
  3. Step 3: Cross multiply
    790.43x = 1,184.49 × 302.94
  4. Step 4: Simplify right side
    790.43x = 358,829.40
  5. Step 5: Solve for x
    x = 358,829.40/790.43
  6. Step 6: Final answer
    x = 453.97

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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.