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Finding the Fourth Proportional to 430.42, 594.03 and 255.73

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Solution

The fourth proportional to 430.42, 594.03 and 255.73 is: 352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.42 : 594.03 = 255.73 : x
  2. Step 2: Convert to fraction form
    430.42/594.03 = 255.73/x
  3. Step 3: Cross multiply
    430.42x = 594.03 × 255.73
  4. Step 4: Simplify right side
    430.42x = 151,911.29
  5. Step 5: Solve for x
    x = 151,911.29/430.42
  6. Step 6: Final answer
    x = 352.94

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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.