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Finding the Fourth Proportional to 432.16, 596.56 and 316.56

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Solution

The fourth proportional to 432.16, 596.56 and 316.56 is: 436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.16 : 596.56 = 316.56 : x
  2. Step 2: Convert to fraction form
    432.16/596.56 = 316.56/x
  3. Step 3: Cross multiply
    432.16x = 596.56 × 316.56
  4. Step 4: Simplify right side
    432.16x = 188,847.03
  5. Step 5: Solve for x
    x = 188,847.03/432.16
  6. Step 6: Final answer
    x = 436.98

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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.