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Finding the Fourth Proportional to 495.57, 744.50 and 349.66

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Solution

The fourth proportional to 495.57, 744.50 and 349.66 is: 525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.57 : 744.50 = 349.66 : x
  2. Step 2: Convert to fraction form
    495.57/744.50 = 349.66/x
  3. Step 3: Cross multiply
    495.57x = 744.50 × 349.66
  4. Step 4: Simplify right side
    495.57x = 260,321.87
  5. Step 5: Solve for x
    x = 260,321.87/495.57
  6. Step 6: Final answer
    x = 525.30

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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.