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Finding the Fourth Proportional to 482.84, 721.12 and 409.88

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Solution

The fourth proportional to 482.84, 721.12 and 409.88 is: 612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.84 : 721.12 = 409.88 : x
  2. Step 2: Convert to fraction form
    482.84/721.12 = 409.88/x
  3. Step 3: Cross multiply
    482.84x = 721.12 × 409.88
  4. Step 4: Simplify right side
    482.84x = 295,572.67
  5. Step 5: Solve for x
    x = 295,572.67/482.84
  6. Step 6: Final answer
    x = 612.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.