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Finding the Fourth Proportional to 430.82, 594.68 and 273.54

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Solution

The fourth proportional to 430.82, 594.68 and 273.54 is: 377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.82 : 594.68 = 273.54 : x
  2. Step 2: Convert to fraction form
    430.82/594.68 = 273.54/x
  3. Step 3: Cross multiply
    430.82x = 594.68 × 273.54
  4. Step 4: Simplify right side
    430.82x = 162,669.63
  5. Step 5: Solve for x
    x = 162,669.63/430.82
  6. Step 6: Final answer
    x = 377.58

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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.