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Finding the Fourth Proportional to 482.10, 723.90 and 389.88

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Solution

The fourth proportional to 482.10, 723.90 and 389.88 is: 585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.10 : 723.90 = 389.88 : x
  2. Step 2: Convert to fraction form
    482.10/723.90 = 389.88/x
  3. Step 3: Cross multiply
    482.10x = 723.90 × 389.88
  4. Step 4: Simplify right side
    482.10x = 282,234.13
  5. Step 5: Solve for x
    x = 282,234.13/482.10
  6. Step 6: Final answer
    x = 585.43

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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.