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Finding the Fourth Proportional to 468.59, 646.73 and 291.63

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Solution

The fourth proportional to 468.59, 646.73 and 291.63 is: 402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.59 : 646.73 = 291.63 : x
  2. Step 2: Convert to fraction form
    468.59/646.73 = 291.63/x
  3. Step 3: Cross multiply
    468.59x = 646.73 × 291.63
  4. Step 4: Simplify right side
    468.59x = 188,604.11
  5. Step 5: Solve for x
    x = 188,604.11/468.59
  6. Step 6: Final answer
    x = 402.50

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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.