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Finding the Fourth Proportional to 995.38, 1,492.70 and 378.76

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Solution

The fourth proportional to 995.38, 1,492.70 and 378.76 is: 568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.38 : 1,492.70 = 378.76 : x
  2. Step 2: Convert to fraction form
    995.38/1,492.70 = 378.76/x
  3. Step 3: Cross multiply
    995.38x = 1,492.70 × 378.76
  4. Step 4: Simplify right side
    995.38x = 565,375.05
  5. Step 5: Solve for x
    x = 565,375.05/995.38
  6. Step 6: Final answer
    x = 568.00

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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.