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Finding the Fourth Proportional to 702.10, 968.00 and 480.67

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Solution

The fourth proportional to 702.10, 968.00 and 480.67 is: 662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.10 : 968.00 = 480.67 : x
  2. Step 2: Convert to fraction form
    702.10/968.00 = 480.67/x
  3. Step 3: Cross multiply
    702.10x = 968.00 × 480.67
  4. Step 4: Simplify right side
    702.10x = 465,283.74
  5. Step 5: Solve for x
    x = 465,283.74/702.10
  6. Step 6: Final answer
    x = 662.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.