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Finding the Fourth Proportional to 430.10, 644.91 and 186.42

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Solution

The fourth proportional to 430.10, 644.91 and 186.42 is: 279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.10 : 644.91 = 186.42 : x
  2. Step 2: Convert to fraction form
    430.10/644.91 = 186.42/x
  3. Step 3: Cross multiply
    430.10x = 644.91 × 186.42
  4. Step 4: Simplify right side
    430.10x = 120,224.12
  5. Step 5: Solve for x
    x = 120,224.12/430.10
  6. Step 6: Final answer
    x = 279.53

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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.