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Finding the Fourth Proportional to 410.72, 616.30 and 303

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Solution

The fourth proportional to 410.72, 616.30 and 303 is: 454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.72 : 616.30 = 303 : x
  2. Step 2: Convert to fraction form
    410.72/616.30 = 303/x
  3. Step 3: Cross multiply
    410.72x = 616.30 × 303
  4. Step 4: Simplify right side
    410.72x = 186,738.90
  5. Step 5: Solve for x
    x = 186,738.90/410.72
  6. Step 6: Final answer
    x = 454.66

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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.