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Finding the Fourth Proportional to 491.27, 735.08 and 403.79

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Solution

The fourth proportional to 491.27, 735.08 and 403.79 is: 604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.27 : 735.08 = 403.79 : x
  2. Step 2: Convert to fraction form
    491.27/735.08 = 403.79/x
  3. Step 3: Cross multiply
    491.27x = 735.08 × 403.79
  4. Step 4: Simplify right side
    491.27x = 296,812.26
  5. Step 5: Solve for x
    x = 296,812.26/491.27
  6. Step 6: Final answer
    x = 604.18

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Why These Related Problems?

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