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Finding the Fourth Proportional to 464.86, 642.90 and 406.54

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Solution

The fourth proportional to 464.86, 642.90 and 406.54 is: 562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.86 : 642.90 = 406.54 : x
  2. Step 2: Convert to fraction form
    464.86/642.90 = 406.54/x
  3. Step 3: Cross multiply
    464.86x = 642.90 × 406.54
  4. Step 4: Simplify right side
    464.86x = 261,364.57
  5. Step 5: Solve for x
    x = 261,364.57/464.86
  6. Step 6: Final answer
    x = 562.24

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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.