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Finding the Fourth Proportional to 509.62, 702.09 and 422.02

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Solution

The fourth proportional to 509.62, 702.09 and 422.02 is: 581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.62 : 702.09 = 422.02 : x
  2. Step 2: Convert to fraction form
    509.62/702.09 = 422.02/x
  3. Step 3: Cross multiply
    509.62x = 702.09 × 422.02
  4. Step 4: Simplify right side
    509.62x = 296,296.02
  5. Step 5: Solve for x
    x = 296,296.02/509.62
  6. Step 6: Final answer
    x = 581.41

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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.