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Finding the Fourth Proportional to 466.20, 643.10 and 291.50

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Solution

The fourth proportional to 466.20, 643.10 and 291.50 is: 402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.20 : 643.10 = 291.50 : x
  2. Step 2: Convert to fraction form
    466.20/643.10 = 291.50/x
  3. Step 3: Cross multiply
    466.20x = 643.10 × 291.50
  4. Step 4: Simplify right side
    466.20x = 187,463.65
  5. Step 5: Solve for x
    x = 187,463.65/466.20
  6. Step 6: Final answer
    x = 402.11

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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.