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Finding the Fourth Proportional to 499.94, 689.82 and 290.06

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Solution

The fourth proportional to 499.94, 689.82 and 290.06 is: 400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.94 : 689.82 = 290.06 : x
  2. Step 2: Convert to fraction form
    499.94/689.82 = 290.06/x
  3. Step 3: Cross multiply
    499.94x = 689.82 × 290.06
  4. Step 4: Simplify right side
    499.94x = 200,085.74
  5. Step 5: Solve for x
    x = 200,085.74/499.94
  6. Step 6: Final answer
    x = 400.22

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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.