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Finding the Fourth Proportional to 468.58, 645.48 and 394.86

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Solution

The fourth proportional to 468.58, 645.48 and 394.86 is: 543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.58 : 645.48 = 394.86 : x
  2. Step 2: Convert to fraction form
    468.58/645.48 = 394.86/x
  3. Step 3: Cross multiply
    468.58x = 645.48 × 394.86
  4. Step 4: Simplify right side
    468.58x = 254,874.23
  5. Step 5: Solve for x
    x = 254,874.23/468.58
  6. Step 6: Final answer
    x = 543.93

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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.