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Finding the Fourth Proportional to 443.64, 664.65 and 237.50

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Solution

The fourth proportional to 443.64, 664.65 and 237.50 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.64 : 664.65 = 237.50 : x
  2. Step 2: Convert to fraction form
    443.64/664.65 = 237.50/x
  3. Step 3: Cross multiply
    443.64x = 664.65 × 237.50
  4. Step 4: Simplify right side
    443.64x = 157,854.38
  5. Step 5: Solve for x
    x = 157,854.38/443.64
  6. Step 6: Final answer
    x = 355.82

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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.