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Finding the Fourth Proportional to 567.60, 846.21 and 516.30

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Solution

The fourth proportional to 567.60, 846.21 and 516.30 is: 769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.60 : 846.21 = 516.30 : x
  2. Step 2: Convert to fraction form
    567.60/846.21 = 516.30/x
  3. Step 3: Cross multiply
    567.60x = 846.21 × 516.30
  4. Step 4: Simplify right side
    567.60x = 436,898.22
  5. Step 5: Solve for x
    x = 436,898.22/567.60
  6. Step 6: Final answer
    x = 769.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.