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Finding the Fourth Proportional to 432.01, 596.15 and 263.93

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Solution

The fourth proportional to 432.01, 596.15 and 263.93 is: 364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.01 : 596.15 = 263.93 : x
  2. Step 2: Convert to fraction form
    432.01/596.15 = 263.93/x
  3. Step 3: Cross multiply
    432.01x = 596.15 × 263.93
  4. Step 4: Simplify right side
    432.01x = 157,338.86
  5. Step 5: Solve for x
    x = 157,338.86/432.01
  6. Step 6: Final answer
    x = 364.20

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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.