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Finding the Fourth Proportional to 468.98, 646.89 and 294.02

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Solution

The fourth proportional to 468.98, 646.89 and 294.02 is: 405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.98 : 646.89 = 294.02 : x
  2. Step 2: Convert to fraction form
    468.98/646.89 = 294.02/x
  3. Step 3: Cross multiply
    468.98x = 646.89 × 294.02
  4. Step 4: Simplify right side
    468.98x = 190,198.60
  5. Step 5: Solve for x
    x = 190,198.60/468.98
  6. Step 6: Final answer
    x = 405.56

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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.