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Finding the Fourth Proportional to 483.84, 728.34 and 416.85

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Solution

The fourth proportional to 483.84, 728.34 and 416.85 is: 627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.84 : 728.34 = 416.85 : x
  2. Step 2: Convert to fraction form
    483.84/728.34 = 416.85/x
  3. Step 3: Cross multiply
    483.84x = 728.34 × 416.85
  4. Step 4: Simplify right side
    483.84x = 303,608.53
  5. Step 5: Solve for x
    x = 303,608.53/483.84
  6. Step 6: Final answer
    x = 627.50

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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.