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Finding the Fourth Proportional to 468.21, 646.11 and 293.67

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Solution

The fourth proportional to 468.21, 646.11 and 293.67 is: 405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.21 : 646.11 = 293.67 : x
  2. Step 2: Convert to fraction form
    468.21/646.11 = 293.67/x
  3. Step 3: Cross multiply
    468.21x = 646.11 × 293.67
  4. Step 4: Simplify right side
    468.21x = 189,743.12
  5. Step 5: Solve for x
    x = 189,743.12/468.21
  6. Step 6: Final answer
    x = 405.25

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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.