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Finding the Fourth Proportional to 430.16, 644.01 and 224.24

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Solution

The fourth proportional to 430.16, 644.01 and 224.24 is: 335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.16 : 644.01 = 224.24 : x
  2. Step 2: Convert to fraction form
    430.16/644.01 = 224.24/x
  3. Step 3: Cross multiply
    430.16x = 644.01 × 224.24
  4. Step 4: Simplify right side
    430.16x = 144,412.80
  5. Step 5: Solve for x
    x = 144,412.80/430.16
  6. Step 6: Final answer
    x = 335.72

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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.