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Finding the Fourth Proportional to 483.84, 730.08 and 463.86

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Solution

The fourth proportional to 483.84, 730.08 and 463.86 is: 699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.84 : 730.08 = 463.86 : x
  2. Step 2: Convert to fraction form
    483.84/730.08 = 463.86/x
  3. Step 3: Cross multiply
    483.84x = 730.08 × 463.86
  4. Step 4: Simplify right side
    483.84x = 338,654.91
  5. Step 5: Solve for x
    x = 338,654.91/483.84
  6. Step 6: Final answer
    x = 699.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.