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Finding the Fourth Proportional to 904.96, 1,356.36 and 416.97

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Solution

The fourth proportional to 904.96, 1,356.36 and 416.97 is: 624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.96 : 1,356.36 = 416.97 : x
  2. Step 2: Convert to fraction form
    904.96/1,356.36 = 416.97/x
  3. Step 3: Cross multiply
    904.96x = 1,356.36 × 416.97
  4. Step 4: Simplify right side
    904.96x = 565,561.43
  5. Step 5: Solve for x
    x = 565,561.43/904.96
  6. Step 6: Final answer
    x = 624.96

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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.