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Finding the Fourth Proportional to 430.16, 645.39 and 186.62

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Solution

The fourth proportional to 430.16, 645.39 and 186.62 is: 279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.16 : 645.39 = 186.62 : x
  2. Step 2: Convert to fraction form
    430.16/645.39 = 186.62/x
  3. Step 3: Cross multiply
    430.16x = 645.39 × 186.62
  4. Step 4: Simplify right side
    430.16x = 120,439.45
  5. Step 5: Solve for x
    x = 120,439.45/430.16
  6. Step 6: Final answer
    x = 279.99

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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.