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Finding the Fourth Proportional to 483.84, 667.82 and 287.40

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Solution

The fourth proportional to 483.84, 667.82 and 287.40 is: 396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.84 : 667.82 = 287.40 : x
  2. Step 2: Convert to fraction form
    483.84/667.82 = 287.40/x
  3. Step 3: Cross multiply
    483.84x = 667.82 × 287.40
  4. Step 4: Simplify right side
    483.84x = 191,931.47
  5. Step 5: Solve for x
    x = 191,931.47/483.84
  6. Step 6: Final answer
    x = 396.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.