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Finding the Fourth Proportional to 468.40, 646.44 and 293.76

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Solution

The fourth proportional to 468.40, 646.44 and 293.76 is: 405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.40 : 646.44 = 293.76 : x
  2. Step 2: Convert to fraction form
    468.40/646.44 = 293.76/x
  3. Step 3: Cross multiply
    468.40x = 646.44 × 293.76
  4. Step 4: Simplify right side
    468.40x = 189,898.21
  5. Step 5: Solve for x
    x = 189,898.21/468.40
  6. Step 6: Final answer
    x = 405.42

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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.