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Finding the Fourth Proportional to 463.89, 639.98 and 298.08

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Solution

The fourth proportional to 463.89, 639.98 and 298.08 is: 411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.89 : 639.98 = 298.08 : x
  2. Step 2: Convert to fraction form
    463.89/639.98 = 298.08/x
  3. Step 3: Cross multiply
    463.89x = 639.98 × 298.08
  4. Step 4: Simplify right side
    463.89x = 190,765.24
  5. Step 5: Solve for x
    x = 190,765.24/463.89
  6. Step 6: Final answer
    x = 411.23

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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.