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Finding the Fourth Proportional to 516.25, 773.47 and 430.13

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Solution

The fourth proportional to 516.25, 773.47 and 430.13 is: 644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.25 : 773.47 = 430.13 : x
  2. Step 2: Convert to fraction form
    516.25/773.47 = 430.13/x
  3. Step 3: Cross multiply
    516.25x = 773.47 × 430.13
  4. Step 4: Simplify right side
    516.25x = 332,695.12
  5. Step 5: Solve for x
    x = 332,695.12/516.25
  6. Step 6: Final answer
    x = 644.45

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