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Finding the Fourth Proportional to 430.64, 593.16 and 342.80

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Solution

The fourth proportional to 430.64, 593.16 and 342.80 is: 472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.64 : 593.16 = 342.80 : x
  2. Step 2: Convert to fraction form
    430.64/593.16 = 342.80/x
  3. Step 3: Cross multiply
    430.64x = 593.16 × 342.80
  4. Step 4: Simplify right side
    430.64x = 203,335.25
  5. Step 5: Solve for x
    x = 203,335.25/430.64
  6. Step 6: Final answer
    x = 472.17

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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.