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Finding the Fourth Proportional to 589.10, 812.98 and 323.56

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Solution

The fourth proportional to 589.10, 812.98 and 323.56 is: 446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.10 : 812.98 = 323.56 : x
  2. Step 2: Convert to fraction form
    589.10/812.98 = 323.56/x
  3. Step 3: Cross multiply
    589.10x = 812.98 × 323.56
  4. Step 4: Simplify right side
    589.10x = 263,047.81
  5. Step 5: Solve for x
    x = 263,047.81/589.10
  6. Step 6: Final answer
    x = 446.52

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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.