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Finding the Fourth Proportional to 482.64, 720.08 and 459.41

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Solution

The fourth proportional to 482.64, 720.08 and 459.41 is: 685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.64 : 720.08 = 459.41 : x
  2. Step 2: Convert to fraction form
    482.64/720.08 = 459.41/x
  3. Step 3: Cross multiply
    482.64x = 720.08 × 459.41
  4. Step 4: Simplify right side
    482.64x = 330,806.06
  5. Step 5: Solve for x
    x = 330,806.06/482.64
  6. Step 6: Final answer
    x = 685.41

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