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Finding the Fourth Proportional to 468.56, 646.44 and 294.14

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Solution

The fourth proportional to 468.56, 646.44 and 294.14 is: 405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.56 : 646.44 = 294.14 : x
  2. Step 2: Convert to fraction form
    468.56/646.44 = 294.14/x
  3. Step 3: Cross multiply
    468.56x = 646.44 × 294.14
  4. Step 4: Simplify right side
    468.56x = 190,143.86
  5. Step 5: Solve for x
    x = 190,143.86/468.56
  6. Step 6: Final answer
    x = 405.80

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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.