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Finding the Fourth Proportional to 483.90, 721.04 and 465.66

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Solution

The fourth proportional to 483.90, 721.04 and 465.66 is: 693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.90 : 721.04 = 465.66 : x
  2. Step 2: Convert to fraction form
    483.90/721.04 = 465.66/x
  3. Step 3: Cross multiply
    483.90x = 721.04 × 465.66
  4. Step 4: Simplify right side
    483.90x = 335,757.16
  5. Step 5: Solve for x
    x = 335,757.16/483.90
  6. Step 6: Final answer
    x = 693.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.