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Finding the Fourth Proportional to 491.23, 735.81 and 462.86

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Solution

The fourth proportional to 491.23, 735.81 and 462.86 is: 693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.23 : 735.81 = 462.86 : x
  2. Step 2: Convert to fraction form
    491.23/735.81 = 462.86/x
  3. Step 3: Cross multiply
    491.23x = 735.81 × 462.86
  4. Step 4: Simplify right side
    491.23x = 340,577.02
  5. Step 5: Solve for x
    x = 340,577.02/491.23
  6. Step 6: Final answer
    x = 693.31

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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.