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Finding the Fourth Proportional to 516.51, 710.99 and 450.90

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Solution

The fourth proportional to 516.51, 710.99 and 450.90 is: 620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.51 : 710.99 = 450.90 : x
  2. Step 2: Convert to fraction form
    516.51/710.99 = 450.90/x
  3. Step 3: Cross multiply
    516.51x = 710.99 × 450.90
  4. Step 4: Simplify right side
    516.51x = 320,583.14
  5. Step 5: Solve for x
    x = 320,583.14/516.51
  6. Step 6: Final answer
    x = 620.67

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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.