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Finding the Fourth Proportional to 485.40, 728.99 and 465.83

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Solution

The fourth proportional to 485.40, 728.99 and 465.83 is: 699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.40 : 728.99 = 465.83 : x
  2. Step 2: Convert to fraction form
    485.40/728.99 = 465.83/x
  3. Step 3: Cross multiply
    485.40x = 728.99 × 465.83
  4. Step 4: Simplify right side
    485.40x = 339,585.41
  5. Step 5: Solve for x
    x = 339,585.41/485.40
  6. Step 6: Final answer
    x = 699.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.