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Finding the Fourth Proportional to 500.95, 691.07 and 291.09

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Solution

The fourth proportional to 500.95, 691.07 and 291.09 is: 401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.95 : 691.07 = 291.09 : x
  2. Step 2: Convert to fraction form
    500.95/691.07 = 291.09/x
  3. Step 3: Cross multiply
    500.95x = 691.07 × 291.09
  4. Step 4: Simplify right side
    500.95x = 201,164.70
  5. Step 5: Solve for x
    x = 201,164.70/500.95
  6. Step 6: Final answer
    x = 401.57

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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.