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Finding the Fourth Proportional to 491.72, 735.96 and 345.64

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Solution

The fourth proportional to 491.72, 735.96 and 345.64 is: 517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.72 : 735.96 = 345.64 : x
  2. Step 2: Convert to fraction form
    491.72/735.96 = 345.64/x
  3. Step 3: Cross multiply
    491.72x = 735.96 × 345.64
  4. Step 4: Simplify right side
    491.72x = 254,377.21
  5. Step 5: Solve for x
    x = 254,377.21/491.72
  6. Step 6: Final answer
    x = 517.32

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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.