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Finding the Fourth Proportional to 500.94, 691.10 and 291.14

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Solution

The fourth proportional to 500.94, 691.10 and 291.14 is: 401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.94 : 691.10 = 291.14 : x
  2. Step 2: Convert to fraction form
    500.94/691.10 = 291.14/x
  3. Step 3: Cross multiply
    500.94x = 691.10 × 291.14
  4. Step 4: Simplify right side
    500.94x = 201,206.85
  5. Step 5: Solve for x
    x = 201,206.85/500.94
  6. Step 6: Final answer
    x = 401.66

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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.