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Finding the Fourth Proportional to 567.44, 784.32 and 523.70

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Solution

The fourth proportional to 567.44, 784.32 and 523.70 is: 723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.44 : 784.32 = 523.70 : x
  2. Step 2: Convert to fraction form
    567.44/784.32 = 523.70/x
  3. Step 3: Cross multiply
    567.44x = 784.32 × 523.70
  4. Step 4: Simplify right side
    567.44x = 410,748.38
  5. Step 5: Solve for x
    x = 410,748.38/567.44
  6. Step 6: Final answer
    x = 723.86

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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.