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Finding the Fourth Proportional to 431.88, 596.01 and 263.86

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Solution

The fourth proportional to 431.88, 596.01 and 263.86 is: 364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.88 : 596.01 = 263.86 : x
  2. Step 2: Convert to fraction form
    431.88/596.01 = 263.86/x
  3. Step 3: Cross multiply
    431.88x = 596.01 × 263.86
  4. Step 4: Simplify right side
    431.88x = 157,261.95
  5. Step 5: Solve for x
    x = 157,261.95/431.88
  6. Step 6: Final answer
    x = 364.13

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Why These Related Problems?

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