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Finding the Fourth Proportional to 468.81, 647.09 and 376.20

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Solution

The fourth proportional to 468.81, 647.09 and 376.20 is: 519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.81 : 647.09 = 376.20 : x
  2. Step 2: Convert to fraction form
    468.81/647.09 = 376.20/x
  3. Step 3: Cross multiply
    468.81x = 647.09 × 376.20
  4. Step 4: Simplify right side
    468.81x = 243,435.26
  5. Step 5: Solve for x
    x = 243,435.26/468.81
  6. Step 6: Final answer
    x = 519.26

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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.