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Finding the Fourth Proportional to 483.29, 725.14 and 310.05

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Solution

The fourth proportional to 483.29, 725.14 and 310.05 is: 465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.29 : 725.14 = 310.05 : x
  2. Step 2: Convert to fraction form
    483.29/725.14 = 310.05/x
  3. Step 3: Cross multiply
    483.29x = 725.14 × 310.05
  4. Step 4: Simplify right side
    483.29x = 224,829.66
  5. Step 5: Solve for x
    x = 224,829.66/483.29
  6. Step 6: Final answer
    x = 465.21

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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.