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Finding the Fourth Proportional to 468.64, 646.54 and 294.09

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Solution

The fourth proportional to 468.64, 646.54 and 294.09 is: 405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.64 : 646.54 = 294.09 : x
  2. Step 2: Convert to fraction form
    468.64/646.54 = 294.09/x
  3. Step 3: Cross multiply
    468.64x = 646.54 × 294.09
  4. Step 4: Simplify right side
    468.64x = 190,140.95
  5. Step 5: Solve for x
    x = 190,140.95/468.64
  6. Step 6: Final answer
    x = 405.73

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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.