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Finding the Fourth Proportional to 493.74, 681.45 and 410.74

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Solution

The fourth proportional to 493.74, 681.45 and 410.74 is: 566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.74 : 681.45 = 410.74 : x
  2. Step 2: Convert to fraction form
    493.74/681.45 = 410.74/x
  3. Step 3: Cross multiply
    493.74x = 681.45 × 410.74
  4. Step 4: Simplify right side
    493.74x = 279,898.77
  5. Step 5: Solve for x
    x = 279,898.77/493.74
  6. Step 6: Final answer
    x = 566.90

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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.