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Finding the Fourth Proportional to 504.50, 696.30 and 294.80

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Solution

The fourth proportional to 504.50, 696.30 and 294.80 is: 406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.50 : 696.30 = 294.80 : x
  2. Step 2: Convert to fraction form
    504.50/696.30 = 294.80/x
  3. Step 3: Cross multiply
    504.50x = 696.30 × 294.80
  4. Step 4: Simplify right side
    504.50x = 205,269.24
  5. Step 5: Solve for x
    x = 205,269.24/504.50
  6. Step 6: Final answer
    x = 406.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.