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Finding the Fourth Proportional to 430.10, 645.13 and 418.71

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Solution

The fourth proportional to 430.10, 645.13 and 418.71 is: 628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.10 : 645.13 = 418.71 : x
  2. Step 2: Convert to fraction form
    430.10/645.13 = 418.71/x
  3. Step 3: Cross multiply
    430.10x = 645.13 × 418.71
  4. Step 4: Simplify right side
    430.10x = 270,122.38
  5. Step 5: Solve for x
    x = 270,122.38/430.10
  6. Step 6: Final answer
    x = 628.05

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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.