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Finding the Fourth Proportional to 468.34, 646.37 and 261.38

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Solution

The fourth proportional to 468.34, 646.37 and 261.38 is: 360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.34 : 646.37 = 261.38 : x
  2. Step 2: Convert to fraction form
    468.34/646.37 = 261.38/x
  3. Step 3: Cross multiply
    468.34x = 646.37 × 261.38
  4. Step 4: Simplify right side
    468.34x = 168,948.19
  5. Step 5: Solve for x
    x = 168,948.19/468.34
  6. Step 6: Final answer
    x = 360.74

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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.