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Finding the Fourth Proportional to 482.64, 723.96 and 193.84

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Solution

The fourth proportional to 482.64, 723.96 and 193.84 is: 290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.64 : 723.96 = 193.84 : x
  2. Step 2: Convert to fraction form
    482.64/723.96 = 193.84/x
  3. Step 3: Cross multiply
    482.64x = 723.96 × 193.84
  4. Step 4: Simplify right side
    482.64x = 140,332.41
  5. Step 5: Solve for x
    x = 140,332.41/482.64
  6. Step 6: Final answer
    x = 290.76

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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.