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Finding the Fourth Proportional to 482.46, 722.64 and 414.16

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Solution

The fourth proportional to 482.46, 722.64 and 414.16 is: 620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.46 : 722.64 = 414.16 : x
  2. Step 2: Convert to fraction form
    482.46/722.64 = 414.16/x
  3. Step 3: Cross multiply
    482.46x = 722.64 × 414.16
  4. Step 4: Simplify right side
    482.46x = 299,288.58
  5. Step 5: Solve for x
    x = 299,288.58/482.46
  6. Step 6: Final answer
    x = 620.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.