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Finding the Fourth Proportional to 482.63, 725.11 and 309.64

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Solution

The fourth proportional to 482.63, 725.11 and 309.64 is: 465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.63 : 725.11 = 309.64 : x
  2. Step 2: Convert to fraction form
    482.63/725.11 = 309.64/x
  3. Step 3: Cross multiply
    482.63x = 725.11 × 309.64
  4. Step 4: Simplify right side
    482.63x = 224,522.61
  5. Step 5: Solve for x
    x = 224,522.61/482.63
  6. Step 6: Final answer
    x = 465.20

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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.