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Finding the Fourth Proportional to 416.88, 624.60 and 307.26

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Solution

The fourth proportional to 416.88, 624.60 and 307.26 is: 460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.88 : 624.60 = 307.26 : x
  2. Step 2: Convert to fraction form
    416.88/624.60 = 307.26/x
  3. Step 3: Cross multiply
    416.88x = 624.60 × 307.26
  4. Step 4: Simplify right side
    416.88x = 191,914.60
  5. Step 5: Solve for x
    x = 191,914.60/416.88
  6. Step 6: Final answer
    x = 460.36

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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.