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Finding the Fourth Proportional to 500.64, 745.74 and 494.16

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Solution

The fourth proportional to 500.64, 745.74 and 494.16 is: 736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.64 : 745.74 = 494.16 : x
  2. Step 2: Convert to fraction form
    500.64/745.74 = 494.16/x
  3. Step 3: Cross multiply
    500.64x = 745.74 × 494.16
  4. Step 4: Simplify right side
    500.64x = 368,514.88
  5. Step 5: Solve for x
    x = 368,514.88/500.64
  6. Step 6: Final answer
    x = 736.09

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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.