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Finding the Fourth Proportional to 416.53, 624.52 and 347.82

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Solution

The fourth proportional to 416.53, 624.52 and 347.82 is: 521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.53 : 624.52 = 347.82 : x
  2. Step 2: Convert to fraction form
    416.53/624.52 = 347.82/x
  3. Step 3: Cross multiply
    416.53x = 624.52 × 347.82
  4. Step 4: Simplify right side
    416.53x = 217,220.55
  5. Step 5: Solve for x
    x = 217,220.55/416.53
  6. Step 6: Final answer
    x = 521.50

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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.