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Finding the Fourth Proportional to 483.10, 723.43 and 346.07

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Solution

The fourth proportional to 483.10, 723.43 and 346.07 is: 518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.10 : 723.43 = 346.07 : x
  2. Step 2: Convert to fraction form
    483.10/723.43 = 346.07/x
  3. Step 3: Cross multiply
    483.10x = 723.43 × 346.07
  4. Step 4: Simplify right side
    483.10x = 250,359.66
  5. Step 5: Solve for x
    x = 250,359.66/483.10
  6. Step 6: Final answer
    x = 518.24

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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.