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Finding the Fourth Proportional to 506.85, 702.26 and 495.91

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Solution

The fourth proportional to 506.85, 702.26 and 495.91 is: 687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.85 : 702.26 = 495.91 : x
  2. Step 2: Convert to fraction form
    506.85/702.26 = 495.91/x
  3. Step 3: Cross multiply
    506.85x = 702.26 × 495.91
  4. Step 4: Simplify right side
    506.85x = 348,257.76
  5. Step 5: Solve for x
    x = 348,257.76/506.85
  6. Step 6: Final answer
    x = 687.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.