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Finding the Fourth Proportional to 430.40, 593.60 and 327.04

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Solution

The fourth proportional to 430.40, 593.60 and 327.04 is: 451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.40 : 593.60 = 327.04 : x
  2. Step 2: Convert to fraction form
    430.40/593.60 = 327.04/x
  3. Step 3: Cross multiply
    430.40x = 593.60 × 327.04
  4. Step 4: Simplify right side
    430.40x = 194,130.94
  5. Step 5: Solve for x
    x = 194,130.94/430.40
  6. Step 6: Final answer
    x = 451.05

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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.