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Finding the Fourth Proportional to 493.76, 681 and 420.32

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Solution

The fourth proportional to 493.76, 681 and 420.32 is: 579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.76 : 681 = 420.32 : x
  2. Step 2: Convert to fraction form
    493.76/681 = 420.32/x
  3. Step 3: Cross multiply
    493.76x = 681 × 420.32
  4. Step 4: Simplify right side
    493.76x = 286,237.92
  5. Step 5: Solve for x
    x = 286,237.92/493.76
  6. Step 6: Final answer
    x = 579.71

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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.