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Finding the Fourth Proportional to 443.04, 664.56 and 314.64

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Solution

The fourth proportional to 443.04, 664.56 and 314.64 is: 471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.04 : 664.56 = 314.64 : x
  2. Step 2: Convert to fraction form
    443.04/664.56 = 314.64/x
  3. Step 3: Cross multiply
    443.04x = 664.56 × 314.64
  4. Step 4: Simplify right side
    443.04x = 209,097.16
  5. Step 5: Solve for x
    x = 209,097.16/443.04
  6. Step 6: Final answer
    x = 471.96

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Why These Related Problems?

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