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Finding the Fourth Proportional to 466.96, 643.80 and 402.16

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Solution

The fourth proportional to 466.96, 643.80 and 402.16 is: 554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.96 : 643.80 = 402.16 : x
  2. Step 2: Convert to fraction form
    466.96/643.80 = 402.16/x
  3. Step 3: Cross multiply
    466.96x = 643.80 × 402.16
  4. Step 4: Simplify right side
    466.96x = 258,910.61
  5. Step 5: Solve for x
    x = 258,910.61/466.96
  6. Step 6: Final answer
    x = 554.46

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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.