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Finding the Fourth Proportional to 468.96, 645.56 and 385.94

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Solution

The fourth proportional to 468.96, 645.56 and 385.94 is: 531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.96 : 645.56 = 385.94 : x
  2. Step 2: Convert to fraction form
    468.96/645.56 = 385.94/x
  3. Step 3: Cross multiply
    468.96x = 645.56 × 385.94
  4. Step 4: Simplify right side
    468.96x = 249,142.27
  5. Step 5: Solve for x
    x = 249,142.27/468.96
  6. Step 6: Final answer
    x = 531.27

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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.