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Finding the Fourth Proportional to 612.96, 844.96 and 416.32

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Solution

The fourth proportional to 612.96, 844.96 and 416.32 is: 573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.96 : 844.96 = 416.32 : x
  2. Step 2: Convert to fraction form
    612.96/844.96 = 416.32/x
  3. Step 3: Cross multiply
    612.96x = 844.96 × 416.32
  4. Step 4: Simplify right side
    612.96x = 351,773.75
  5. Step 5: Solve for x
    x = 351,773.75/612.96
  6. Step 6: Final answer
    x = 573.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.