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Finding the Fourth Proportional to 468.82, 647.02 and 282.40

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Solution

The fourth proportional to 468.82, 647.02 and 282.40 is: 389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.82 : 647.02 = 282.40 : x
  2. Step 2: Convert to fraction form
    468.82/647.02 = 282.40/x
  3. Step 3: Cross multiply
    468.82x = 647.02 × 282.40
  4. Step 4: Simplify right side
    468.82x = 182,720.14
  5. Step 5: Solve for x
    x = 182,720.14/468.82
  6. Step 6: Final answer
    x = 389.75

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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.