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Finding the Fourth Proportional to 405.24, 607.86 and 185.77

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Solution

The fourth proportional to 405.24, 607.86 and 185.77 is: 278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.24 : 607.86 = 185.77 : x
  2. Step 2: Convert to fraction form
    405.24/607.86 = 185.77/x
  3. Step 3: Cross multiply
    405.24x = 607.86 × 185.77
  4. Step 4: Simplify right side
    405.24x = 112,922.15
  5. Step 5: Solve for x
    x = 112,922.15/405.24
  6. Step 6: Final answer
    x = 278.66

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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.