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Finding the Fourth Proportional to 290.96, 434.14 and 263.60

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Solution

The fourth proportional to 290.96, 434.14 and 263.60 is: 393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.96 : 434.14 = 263.60 : x
  2. Step 2: Convert to fraction form
    290.96/434.14 = 263.60/x
  3. Step 3: Cross multiply
    290.96x = 434.14 × 263.60
  4. Step 4: Simplify right side
    290.96x = 114,439.30
  5. Step 5: Solve for x
    x = 114,439.30/290.96
  6. Step 6: Final answer
    x = 393.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.