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Finding the Fourth Proportional to 482.16, 722.70 and 386.04

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Solution

The fourth proportional to 482.16, 722.70 and 386.04 is: 578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.16 : 722.70 = 386.04 : x
  2. Step 2: Convert to fraction form
    482.16/722.70 = 386.04/x
  3. Step 3: Cross multiply
    482.16x = 722.70 × 386.04
  4. Step 4: Simplify right side
    482.16x = 278,991.11
  5. Step 5: Solve for x
    x = 278,991.11/482.16
  6. Step 6: Final answer
    x = 578.63

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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.