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Finding the Fourth Proportional to 431.37, 594.86 and 263.19

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Solution

The fourth proportional to 431.37, 594.86 and 263.19 is: 362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.37 : 594.86 = 263.19 : x
  2. Step 2: Convert to fraction form
    431.37/594.86 = 263.19/x
  3. Step 3: Cross multiply
    431.37x = 594.86 × 263.19
  4. Step 4: Simplify right side
    431.37x = 156,561.86
  5. Step 5: Solve for x
    x = 156,561.86/431.37
  6. Step 6: Final answer
    x = 362.94

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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.