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Finding the Fourth Proportional to 665.84, 998.08 and 434.88

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Solution

The fourth proportional to 665.84, 998.08 and 434.88 is: 651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.84 : 998.08 = 434.88 : x
  2. Step 2: Convert to fraction form
    665.84/998.08 = 434.88/x
  3. Step 3: Cross multiply
    665.84x = 998.08 × 434.88
  4. Step 4: Simplify right side
    665.84x = 434,045.03
  5. Step 5: Solve for x
    x = 434,045.03/665.84
  6. Step 6: Final answer
    x = 651.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.