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Finding the Fourth Proportional to 540.68, 812.10 and 324.68

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Solution

The fourth proportional to 540.68, 812.10 and 324.68 is: 487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.68 : 812.10 = 324.68 : x
  2. Step 2: Convert to fraction form
    540.68/812.10 = 324.68/x
  3. Step 3: Cross multiply
    540.68x = 812.10 × 324.68
  4. Step 4: Simplify right side
    540.68x = 263,672.63
  5. Step 5: Solve for x
    x = 263,672.63/540.68
  6. Step 6: Final answer
    x = 487.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.