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Finding the Fourth Proportional to 612.24, 845.01 and 416.04

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Solution

The fourth proportional to 612.24, 845.01 and 416.04 is: 574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.24 : 845.01 = 416.04 : x
  2. Step 2: Convert to fraction form
    612.24/845.01 = 416.04/x
  3. Step 3: Cross multiply
    612.24x = 845.01 × 416.04
  4. Step 4: Simplify right side
    612.24x = 351,557.96
  5. Step 5: Solve for x
    x = 351,557.96/612.24
  6. Step 6: Final answer
    x = 574.22

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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.