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Finding the Fourth Proportional to 430.20, 592.38 and 367.56

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Solution

The fourth proportional to 430.20, 592.38 and 367.56 is: 506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.20 : 592.38 = 367.56 : x
  2. Step 2: Convert to fraction form
    430.20/592.38 = 367.56/x
  3. Step 3: Cross multiply
    430.20x = 592.38 × 367.56
  4. Step 4: Simplify right side
    430.20x = 217,735.19
  5. Step 5: Solve for x
    x = 217,735.19/430.20
  6. Step 6: Final answer
    x = 506.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.