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Finding the Fourth Proportional to 483.06, 723.12 and 309.90

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Solution

The fourth proportional to 483.06, 723.12 and 309.90 is: 463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.06 : 723.12 = 309.90 : x
  2. Step 2: Convert to fraction form
    483.06/723.12 = 309.90/x
  3. Step 3: Cross multiply
    483.06x = 723.12 × 309.90
  4. Step 4: Simplify right side
    483.06x = 224,094.89
  5. Step 5: Solve for x
    x = 224,094.89/483.06
  6. Step 6: Final answer
    x = 463.91

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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.