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Finding the Fourth Proportional to 416.34, 624.74 and 295.38

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Solution

The fourth proportional to 416.34, 624.74 and 295.38 is: 443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.34 : 624.74 = 295.38 : x
  2. Step 2: Convert to fraction form
    416.34/624.74 = 295.38/x
  3. Step 3: Cross multiply
    416.34x = 624.74 × 295.38
  4. Step 4: Simplify right side
    416.34x = 184,534.22
  5. Step 5: Solve for x
    x = 184,534.22/416.34
  6. Step 6: Final answer
    x = 443.23

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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.