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Finding the Fourth Proportional to 443.65, 665.33 and 410.71

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Solution

The fourth proportional to 443.65, 665.33 and 410.71 is: 615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.65 : 665.33 = 410.71 : x
  2. Step 2: Convert to fraction form
    443.65/665.33 = 410.71/x
  3. Step 3: Cross multiply
    443.65x = 665.33 × 410.71
  4. Step 4: Simplify right side
    443.65x = 273,254.36
  5. Step 5: Solve for x
    x = 273,254.36/443.65
  6. Step 6: Final answer
    x = 615.93

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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.