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Finding the Fourth Proportional to 416.10, 624.36 and 294.12

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Solution

The fourth proportional to 416.10, 624.36 and 294.12 is: 441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.10 : 624.36 = 294.12 : x
  2. Step 2: Convert to fraction form
    416.10/624.36 = 294.12/x
  3. Step 3: Cross multiply
    416.10x = 624.36 × 294.12
  4. Step 4: Simplify right side
    416.10x = 183,636.76
  5. Step 5: Solve for x
    x = 183,636.76/416.10
  6. Step 6: Final answer
    x = 441.33

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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.