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Finding the Fourth Proportional to 410.09, 610.66 and 405.54

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Solution

The fourth proportional to 410.09, 610.66 and 405.54 is: 603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.09 : 610.66 = 405.54 : x
  2. Step 2: Convert to fraction form
    410.09/610.66 = 405.54/x
  3. Step 3: Cross multiply
    410.09x = 610.66 × 405.54
  4. Step 4: Simplify right side
    410.09x = 247,647.56
  5. Step 5: Solve for x
    x = 247,647.56/410.09
  6. Step 6: Final answer
    x = 603.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.