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Finding the Fourth Proportional to 430.63, 594.25 and 262.73

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Solution

The fourth proportional to 430.63, 594.25 and 262.73 is: 362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.63 : 594.25 = 262.73 : x
  2. Step 2: Convert to fraction form
    430.63/594.25 = 262.73/x
  3. Step 3: Cross multiply
    430.63x = 594.25 × 262.73
  4. Step 4: Simplify right side
    430.63x = 156,127.30
  5. Step 5: Solve for x
    x = 156,127.30/430.63
  6. Step 6: Final answer
    x = 362.56

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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.