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Finding the Fourth Proportional to 496.44, 740.57 and 472.14

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Solution

The fourth proportional to 496.44, 740.57 and 472.14 is: 704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.44 : 740.57 = 472.14 : x
  2. Step 2: Convert to fraction form
    496.44/740.57 = 472.14/x
  3. Step 3: Cross multiply
    496.44x = 740.57 × 472.14
  4. Step 4: Simplify right side
    496.44x = 349,650.36
  5. Step 5: Solve for x
    x = 349,650.36/496.44
  6. Step 6: Final answer
    x = 704.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.