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Finding the Fourth Proportional to 524.88, 789.48 and 416.88

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Solution

The fourth proportional to 524.88, 789.48 and 416.88 is: 627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.88 : 789.48 = 416.88 : x
  2. Step 2: Convert to fraction form
    524.88/789.48 = 416.88/x
  3. Step 3: Cross multiply
    524.88x = 789.48 × 416.88
  4. Step 4: Simplify right side
    524.88x = 329,118.42
  5. Step 5: Solve for x
    x = 329,118.42/524.88
  6. Step 6: Final answer
    x = 627.04

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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.