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Finding the Fourth Proportional to 494.50, 740.64 and 371.24

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Solution

The fourth proportional to 494.50, 740.64 and 371.24 is: 556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.50 : 740.64 = 371.24 : x
  2. Step 2: Convert to fraction form
    494.50/740.64 = 371.24/x
  3. Step 3: Cross multiply
    494.50x = 740.64 × 371.24
  4. Step 4: Simplify right side
    494.50x = 274,953.34
  5. Step 5: Solve for x
    x = 274,953.34/494.50
  6. Step 6: Final answer
    x = 556.02

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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.