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Finding the Fourth Proportional to 466.54, 643.88 and 342.61

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Solution

The fourth proportional to 466.54, 643.88 and 342.61 is: 472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.54 : 643.88 = 342.61 : x
  2. Step 2: Convert to fraction form
    466.54/643.88 = 342.61/x
  3. Step 3: Cross multiply
    466.54x = 643.88 × 342.61
  4. Step 4: Simplify right side
    466.54x = 220,598.97
  5. Step 5: Solve for x
    x = 220,598.97/466.54
  6. Step 6: Final answer
    x = 472.84

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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.