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Finding the Fourth Proportional to 405.09, 607.10 and 185.73

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Solution

The fourth proportional to 405.09, 607.10 and 185.73 is: 278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.09 : 607.10 = 185.73 : x
  2. Step 2: Convert to fraction form
    405.09/607.10 = 185.73/x
  3. Step 3: Cross multiply
    405.09x = 607.10 × 185.73
  4. Step 4: Simplify right side
    405.09x = 112,755.75
  5. Step 5: Solve for x
    x = 112,755.75/405.09
  6. Step 6: Final answer
    x = 278.35

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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.