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Finding the Fourth Proportional to 665.35, 998.03 and 437.35

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Solution

The fourth proportional to 665.35, 998.03 and 437.35 is: 656.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.35 : 998.03 = 437.35 : x
  2. Step 2: Convert to fraction form
    665.35/998.03 = 437.35/x
  3. Step 3: Cross multiply
    665.35x = 998.03 × 437.35
  4. Step 4: Simplify right side
    665.35x = 436,486.23
  5. Step 5: Solve for x
    x = 436,486.23/665.35
  6. Step 6: Final answer
    x = 656.03

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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.