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Finding the Fourth Proportional to 483.26, 724.86 and 405.50

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Solution

The fourth proportional to 483.26, 724.86 and 405.50 is: 608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.26 : 724.86 = 405.50 : x
  2. Step 2: Convert to fraction form
    483.26/724.86 = 405.50/x
  3. Step 3: Cross multiply
    483.26x = 724.86 × 405.50
  4. Step 4: Simplify right side
    483.26x = 293,927.11
  5. Step 5: Solve for x
    x = 293,927.11/483.26
  6. Step 6: Final answer
    x = 608.22

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Why These Related Problems?

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