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Finding the Fourth Proportional to 482.49, 723.72 and 309.24

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Solution

The fourth proportional to 482.49, 723.72 and 309.24 is: 463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.49 : 723.72 = 309.24 : x
  2. Step 2: Convert to fraction form
    482.49/723.72 = 309.24/x
  3. Step 3: Cross multiply
    482.49x = 723.72 × 309.24
  4. Step 4: Simplify right side
    482.49x = 223,803.17
  5. Step 5: Solve for x
    x = 223,803.17/482.49
  6. Step 6: Final answer
    x = 463.85

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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.