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Finding the Fourth Proportional to 468.56, 646.52 and 261.52

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Solution

The fourth proportional to 468.56, 646.52 and 261.52 is: 360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.56 : 646.52 = 261.52 : x
  2. Step 2: Convert to fraction form
    468.56/646.52 = 261.52/x
  3. Step 3: Cross multiply
    468.56x = 646.52 × 261.52
  4. Step 4: Simplify right side
    468.56x = 169,077.91
  5. Step 5: Solve for x
    x = 169,077.91/468.56
  6. Step 6: Final answer
    x = 360.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.