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Finding the Fourth Proportional to 624, 861.40 and 361.96

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Solution

The fourth proportional to 624, 861.40 and 361.96 is: 499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    624 : 861.40 = 361.96 : x
  2. Step 2: Convert to fraction form
    624/861.40 = 361.96/x
  3. Step 3: Cross multiply
    624x = 861.40 × 361.96
  4. Step 4: Simplify right side
    624x = 311,792.34
  5. Step 5: Solve for x
    x = 311,792.34/624
  6. Step 6: Final answer
    x = 499.67

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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.