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Finding the Fourth Proportional to 443.08, 665.16 and 435.76

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Solution

The fourth proportional to 443.08, 665.16 and 435.76 is: 654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.08 : 665.16 = 435.76 : x
  2. Step 2: Convert to fraction form
    443.08/665.16 = 435.76/x
  3. Step 3: Cross multiply
    443.08x = 665.16 × 435.76
  4. Step 4: Simplify right side
    443.08x = 289,850.12
  5. Step 5: Solve for x
    x = 289,850.12/443.08
  6. Step 6: Final answer
    x = 654.17

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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.