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Finding the Fourth Proportional to 432.81, 596.83 and 370.85

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Solution

The fourth proportional to 432.81, 596.83 and 370.85 is: 511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.81 : 596.83 = 370.85 : x
  2. Step 2: Convert to fraction form
    432.81/596.83 = 370.85/x
  3. Step 3: Cross multiply
    432.81x = 596.83 × 370.85
  4. Step 4: Simplify right side
    432.81x = 221,330.49
  5. Step 5: Solve for x
    x = 221,330.49/432.81
  6. Step 6: Final answer
    x = 511.38

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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.