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Finding the Fourth Proportional to 702.99, 968.84 and 466.52

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Solution

The fourth proportional to 702.99, 968.84 and 466.52 is: 642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.99 : 968.84 = 466.52 : x
  2. Step 2: Convert to fraction form
    702.99/968.84 = 466.52/x
  3. Step 3: Cross multiply
    702.99x = 968.84 × 466.52
  4. Step 4: Simplify right side
    702.99x = 451,981.44
  5. Step 5: Solve for x
    x = 451,981.44/702.99
  6. Step 6: Final answer
    x = 642.94

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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.