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Finding the Fourth Proportional to 702.95, 970.11 and 466.97

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Solution

The fourth proportional to 702.95, 970.11 and 466.97 is: 644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.95 : 970.11 = 466.97 : x
  2. Step 2: Convert to fraction form
    702.95/970.11 = 466.97/x
  3. Step 3: Cross multiply
    702.95x = 970.11 × 466.97
  4. Step 4: Simplify right side
    702.95x = 453,007.42
  5. Step 5: Solve for x
    x = 453,007.42/702.95
  6. Step 6: Final answer
    x = 644.44

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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.