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Finding the Fourth Proportional to 561.82, 842.79 and 497.42

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Solution

The fourth proportional to 561.82, 842.79 and 497.42 is: 746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.82 : 842.79 = 497.42 : x
  2. Step 2: Convert to fraction form
    561.82/842.79 = 497.42/x
  3. Step 3: Cross multiply
    561.82x = 842.79 × 497.42
  4. Step 4: Simplify right side
    561.82x = 419,220.60
  5. Step 5: Solve for x
    x = 419,220.60/561.82
  6. Step 6: Final answer
    x = 746.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.