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Finding the Fourth Proportional to 416.01, 624 and 172.53

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Solution

The fourth proportional to 416.01, 624 and 172.53 is: 258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.01 : 624 = 172.53 : x
  2. Step 2: Convert to fraction form
    416.01/624 = 172.53/x
  3. Step 3: Cross multiply
    416.01x = 624 × 172.53
  4. Step 4: Simplify right side
    416.01x = 107,658.72
  5. Step 5: Solve for x
    x = 107,658.72/416.01
  6. Step 6: Final answer
    x = 258.79

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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.