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Finding the Fourth Proportional to 430.04, 644.66 and 186.52

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Solution

The fourth proportional to 430.04, 644.66 and 186.52 is: 279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.04 : 644.66 = 186.52 : x
  2. Step 2: Convert to fraction form
    430.04/644.66 = 186.52/x
  3. Step 3: Cross multiply
    430.04x = 644.66 × 186.52
  4. Step 4: Simplify right side
    430.04x = 120,241.98
  5. Step 5: Solve for x
    x = 120,241.98/430.04
  6. Step 6: Final answer
    x = 279.61

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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.