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Finding the Fourth Proportional to 500.99, 691.51 and 401.56

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Solution

The fourth proportional to 500.99, 691.51 and 401.56 is: 554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.99 : 691.51 = 401.56 : x
  2. Step 2: Convert to fraction form
    500.99/691.51 = 401.56/x
  3. Step 3: Cross multiply
    500.99x = 691.51 × 401.56
  4. Step 4: Simplify right side
    500.99x = 277,682.76
  5. Step 5: Solve for x
    x = 277,682.76/500.99
  6. Step 6: Final answer
    x = 554.27

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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.