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Finding the Fourth Proportional to 466.69, 702.75 and 409.54

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Solution

The fourth proportional to 466.69, 702.75 and 409.54 is: 616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.69 : 702.75 = 409.54 : x
  2. Step 2: Convert to fraction form
    466.69/702.75 = 409.54/x
  3. Step 3: Cross multiply
    466.69x = 702.75 × 409.54
  4. Step 4: Simplify right side
    466.69x = 287,804.24
  5. Step 5: Solve for x
    x = 287,804.24/466.69
  6. Step 6: Final answer
    x = 616.69

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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.