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Finding the Fourth Proportional to 466.50, 643.97 and 291.95

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Solution

The fourth proportional to 466.50, 643.97 and 291.95 is: 403.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.50 : 643.97 = 291.95 : x
  2. Step 2: Convert to fraction form
    466.50/643.97 = 291.95/x
  3. Step 3: Cross multiply
    466.50x = 643.97 × 291.95
  4. Step 4: Simplify right side
    466.50x = 188,004.55
  5. Step 5: Solve for x
    x = 188,004.55/466.50
  6. Step 6: Final answer
    x = 403.01

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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.