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Finding the Fourth Proportional to 466.52, 702.53 and 406.37

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Solution

The fourth proportional to 466.52, 702.53 and 406.37 is: 611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.52 : 702.53 = 406.37 : x
  2. Step 2: Convert to fraction form
    466.52/702.53 = 406.37/x
  3. Step 3: Cross multiply
    466.52x = 702.53 × 406.37
  4. Step 4: Simplify right side
    466.52x = 285,488.36
  5. Step 5: Solve for x
    x = 285,488.36/466.52
  6. Step 6: Final answer
    x = 611.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.