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Finding the Fourth Proportional to 466.14, 702.37 and 386.76

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Solution

The fourth proportional to 466.14, 702.37 and 386.76 is: 582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.14 : 702.37 = 386.76 : x
  2. Step 2: Convert to fraction form
    466.14/702.37 = 386.76/x
  3. Step 3: Cross multiply
    466.14x = 702.37 × 386.76
  4. Step 4: Simplify right side
    466.14x = 271,647.65
  5. Step 5: Solve for x
    x = 271,647.65/466.14
  6. Step 6: Final answer
    x = 582.76

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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.