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Finding the Fourth Proportional to 416.58, 624.06 and 343.56

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Solution

The fourth proportional to 416.58, 624.06 and 343.56 is: 514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.58 : 624.06 = 343.56 : x
  2. Step 2: Convert to fraction form
    416.58/624.06 = 343.56/x
  3. Step 3: Cross multiply
    416.58x = 624.06 × 343.56
  4. Step 4: Simplify right side
    416.58x = 214,402.05
  5. Step 5: Solve for x
    x = 214,402.05/416.58
  6. Step 6: Final answer
    x = 514.67

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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.