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Finding the Fourth Proportional to 628.15, 941.10 and 302.80

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Solution

The fourth proportional to 628.15, 941.10 and 302.80 is: 453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.15 : 941.10 = 302.80 : x
  2. Step 2: Convert to fraction form
    628.15/941.10 = 302.80/x
  3. Step 3: Cross multiply
    628.15x = 941.10 × 302.80
  4. Step 4: Simplify right side
    628.15x = 284,965.08
  5. Step 5: Solve for x
    x = 284,965.08/628.15
  6. Step 6: Final answer
    x = 453.66

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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.