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Finding the Fourth Proportional to 468.70, 646.32 and 294.04

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Solution

The fourth proportional to 468.70, 646.32 and 294.04 is: 405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.70 : 646.32 = 294.04 : x
  2. Step 2: Convert to fraction form
    468.70/646.32 = 294.04/x
  3. Step 3: Cross multiply
    468.70x = 646.32 × 294.04
  4. Step 4: Simplify right side
    468.70x = 190,043.93
  5. Step 5: Solve for x
    x = 190,043.93/468.70
  6. Step 6: Final answer
    x = 405.47

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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.