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Finding the Fourth Proportional to 482.65, 665.88 and 296.07

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Solution

The fourth proportional to 482.65, 665.88 and 296.07 is: 408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.65 : 665.88 = 296.07 : x
  2. Step 2: Convert to fraction form
    482.65/665.88 = 296.07/x
  3. Step 3: Cross multiply
    482.65x = 665.88 × 296.07
  4. Step 4: Simplify right side
    482.65x = 197,147.09
  5. Step 5: Solve for x
    x = 197,147.09/482.65
  6. Step 6: Final answer
    x = 408.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.