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Finding the Fourth Proportional to 416.30, 624.56 and 197.08

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Solution

The fourth proportional to 416.30, 624.56 and 197.08 is: 295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.30 : 624.56 = 197.08 : x
  2. Step 2: Convert to fraction form
    416.30/624.56 = 197.08/x
  3. Step 3: Cross multiply
    416.30x = 624.56 × 197.08
  4. Step 4: Simplify right side
    416.30x = 123,085.74
  5. Step 5: Solve for x
    x = 123,085.74/416.30
  6. Step 6: Final answer
    x = 295.66

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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.