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Finding the Fourth Proportional to 466.06, 643.21 and 291.42

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Solution

The fourth proportional to 466.06, 643.21 and 291.42 is: 402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.06 : 643.21 = 291.42 : x
  2. Step 2: Convert to fraction form
    466.06/643.21 = 291.42/x
  3. Step 3: Cross multiply
    466.06x = 643.21 × 291.42
  4. Step 4: Simplify right side
    466.06x = 187,444.26
  5. Step 5: Solve for x
    x = 187,444.26/466.06
  6. Step 6: Final answer
    x = 402.19

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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.