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Finding the Fourth Proportional to 430.27, 645.19 and 224.79

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Solution

The fourth proportional to 430.27, 645.19 and 224.79 is: 337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.27 : 645.19 = 224.79 : x
  2. Step 2: Convert to fraction form
    430.27/645.19 = 224.79/x
  3. Step 3: Cross multiply
    430.27x = 645.19 × 224.79
  4. Step 4: Simplify right side
    430.27x = 145,032.26
  5. Step 5: Solve for x
    x = 145,032.26/430.27
  6. Step 6: Final answer
    x = 337.07

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Why These Related Problems?

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