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Finding the Fourth Proportional to 466.01, 643.10 and 291.25

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Solution

The fourth proportional to 466.01, 643.10 and 291.25 is: 401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.01 : 643.10 = 291.25 : x
  2. Step 2: Convert to fraction form
    466.01/643.10 = 291.25/x
  3. Step 3: Cross multiply
    466.01x = 643.10 × 291.25
  4. Step 4: Simplify right side
    466.01x = 187,302.88
  5. Step 5: Solve for x
    x = 187,302.88/466.01
  6. Step 6: Final answer
    x = 401.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.