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Finding the Fourth Proportional to 435.93, 601.26 and 409.82

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Solution

The fourth proportional to 435.93, 601.26 and 409.82 is: 565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.93 : 601.26 = 409.82 : x
  2. Step 2: Convert to fraction form
    435.93/601.26 = 409.82/x
  3. Step 3: Cross multiply
    435.93x = 601.26 × 409.82
  4. Step 4: Simplify right side
    435.93x = 246,405.37
  5. Step 5: Solve for x
    x = 246,405.37/435.93
  6. Step 6: Final answer
    x = 565.24

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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.