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Finding the Fourth Proportional to 465.90, 702.15 and 443.94

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Solution

The fourth proportional to 465.90, 702.15 and 443.94 is: 669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.90 : 702.15 = 443.94 : x
  2. Step 2: Convert to fraction form
    465.90/702.15 = 443.94/x
  3. Step 3: Cross multiply
    465.90x = 702.15 × 443.94
  4. Step 4: Simplify right side
    465.90x = 311,712.47
  5. Step 5: Solve for x
    x = 311,712.47/465.90
  6. Step 6: Final answer
    x = 669.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.