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Finding the Fourth Proportional to 468.56, 646.62 and 261.56

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Solution

The fourth proportional to 468.56, 646.62 and 261.56 is: 360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.56 : 646.62 = 261.56 : x
  2. Step 2: Convert to fraction form
    468.56/646.62 = 261.56/x
  3. Step 3: Cross multiply
    468.56x = 646.62 × 261.56
  4. Step 4: Simplify right side
    468.56x = 169,130.56
  5. Step 5: Solve for x
    x = 169,130.56/468.56
  6. Step 6: Final answer
    x = 360.96

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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.