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Finding the Fourth Proportional to 432.24, 596.76 and 316.08

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Solution

The fourth proportional to 432.24, 596.76 and 316.08 is: 436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.24 : 596.76 = 316.08 : x
  2. Step 2: Convert to fraction form
    432.24/596.76 = 316.08/x
  3. Step 3: Cross multiply
    432.24x = 596.76 × 316.08
  4. Step 4: Simplify right side
    432.24x = 188,623.90
  5. Step 5: Solve for x
    x = 188,623.90/432.24
  6. Step 6: Final answer
    x = 436.39

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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.