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Finding the Fourth Proportional to 493.28, 679.84 and 430.88

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Solution

The fourth proportional to 493.28, 679.84 and 430.88 is: 593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.28 : 679.84 = 430.88 : x
  2. Step 2: Convert to fraction form
    493.28/679.84 = 430.88/x
  3. Step 3: Cross multiply
    493.28x = 679.84 × 430.88
  4. Step 4: Simplify right side
    493.28x = 292,929.46
  5. Step 5: Solve for x
    x = 292,929.46/493.28
  6. Step 6: Final answer
    x = 593.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.