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Finding the Fourth Proportional to 482.97, 719.49 and 459.75

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Solution

The fourth proportional to 482.97, 719.49 and 459.75 is: 684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.97 : 719.49 = 459.75 : x
  2. Step 2: Convert to fraction form
    482.97/719.49 = 459.75/x
  3. Step 3: Cross multiply
    482.97x = 719.49 × 459.75
  4. Step 4: Simplify right side
    482.97x = 330,785.53
  5. Step 5: Solve for x
    x = 330,785.53/482.97
  6. Step 6: Final answer
    x = 684.90

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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.