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Finding the Fourth Proportional to 505.01, 696.88 and 283.96

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Solution

The fourth proportional to 505.01, 696.88 and 283.96 is: 391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.01 : 696.88 = 283.96 : x
  2. Step 2: Convert to fraction form
    505.01/696.88 = 283.96/x
  3. Step 3: Cross multiply
    505.01x = 696.88 × 283.96
  4. Step 4: Simplify right side
    505.01x = 197,887.27
  5. Step 5: Solve for x
    x = 197,887.27/505.01
  6. Step 6: Final answer
    x = 391.85

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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.