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Finding the Fourth Proportional to 516.89, 775.23 and 430.78

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Solution

The fourth proportional to 516.89, 775.23 and 430.78 is: 646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.89 : 775.23 = 430.78 : x
  2. Step 2: Convert to fraction form
    516.89/775.23 = 430.78/x
  3. Step 3: Cross multiply
    516.89x = 775.23 × 430.78
  4. Step 4: Simplify right side
    516.89x = 333,953.58
  5. Step 5: Solve for x
    x = 333,953.58/516.89
  6. Step 6: Final answer
    x = 646.08

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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.