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Finding the Fourth Proportional to 493.75, 681.44 and 410.72

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Solution

The fourth proportional to 493.75, 681.44 and 410.72 is: 566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.75 : 681.44 = 410.72 : x
  2. Step 2: Convert to fraction form
    493.75/681.44 = 410.72/x
  3. Step 3: Cross multiply
    493.75x = 681.44 × 410.72
  4. Step 4: Simplify right side
    493.75x = 279,878.66
  5. Step 5: Solve for x
    x = 279,878.66/493.75
  6. Step 6: Final answer
    x = 566.85

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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.