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Finding the Fourth Proportional to 500.75, 691.35 and 343.64

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Solution

The fourth proportional to 500.75, 691.35 and 343.64 is: 474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.75 : 691.35 = 343.64 : x
  2. Step 2: Convert to fraction form
    500.75/691.35 = 343.64/x
  3. Step 3: Cross multiply
    500.75x = 691.35 × 343.64
  4. Step 4: Simplify right side
    500.75x = 237,575.51
  5. Step 5: Solve for x
    x = 237,575.51/500.75
  6. Step 6: Final answer
    x = 474.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.