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Finding the Fourth Proportional to 702.45, 968.98 and 407.67

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Solution

The fourth proportional to 702.45, 968.98 and 407.67 is: 562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.45 : 968.98 = 407.67 : x
  2. Step 2: Convert to fraction form
    702.45/968.98 = 407.67/x
  3. Step 3: Cross multiply
    702.45x = 968.98 × 407.67
  4. Step 4: Simplify right side
    702.45x = 395,022.04
  5. Step 5: Solve for x
    x = 395,022.04/702.45
  6. Step 6: Final answer
    x = 562.35

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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.