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Finding the Fourth Proportional to 500.69, 690.96 and 290.91

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Solution

The fourth proportional to 500.69, 690.96 and 290.91 is: 401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.69 : 690.96 = 290.91 : x
  2. Step 2: Convert to fraction form
    500.69/690.96 = 290.91/x
  3. Step 3: Cross multiply
    500.69x = 690.96 × 290.91
  4. Step 4: Simplify right side
    500.69x = 201,006.63
  5. Step 5: Solve for x
    x = 201,006.63/500.69
  6. Step 6: Final answer
    x = 401.46

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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.