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Finding the Fourth Proportional to 430.37, 645.42 and 186.83

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Solution

The fourth proportional to 430.37, 645.42 and 186.83 is: 280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.37 : 645.42 = 186.83 : x
  2. Step 2: Convert to fraction form
    430.37/645.42 = 186.83/x
  3. Step 3: Cross multiply
    430.37x = 645.42 × 186.83
  4. Step 4: Simplify right side
    430.37x = 120,583.82
  5. Step 5: Solve for x
    x = 120,583.82/430.37
  6. Step 6: Final answer
    x = 280.19

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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.