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Finding the Fourth Proportional to 430.60, 644.46 and 259.72

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Solution

The fourth proportional to 430.60, 644.46 and 259.72 is: 388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.60 : 644.46 = 259.72 : x
  2. Step 2: Convert to fraction form
    430.60/644.46 = 259.72/x
  3. Step 3: Cross multiply
    430.60x = 644.46 × 259.72
  4. Step 4: Simplify right side
    430.60x = 167,379.15
  5. Step 5: Solve for x
    x = 167,379.15/430.60
  6. Step 6: Final answer
    x = 388.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.