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Finding the Fourth Proportional to 430.11, 645.72 and 224.82

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Solution

The fourth proportional to 430.11, 645.72 and 224.82 is: 337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.11 : 645.72 = 224.82 : x
  2. Step 2: Convert to fraction form
    430.11/645.72 = 224.82/x
  3. Step 3: Cross multiply
    430.11x = 645.72 × 224.82
  4. Step 4: Simplify right side
    430.11x = 145,170.77
  5. Step 5: Solve for x
    x = 145,170.77/430.11
  6. Step 6: Final answer
    x = 337.52

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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.