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Finding the Fourth Proportional to 485.16, 728.61 and 465.59

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Solution

The fourth proportional to 485.16, 728.61 and 465.59 is: 699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.16 : 728.61 = 465.59 : x
  2. Step 2: Convert to fraction form
    485.16/728.61 = 465.59/x
  3. Step 3: Cross multiply
    485.16x = 728.61 × 465.59
  4. Step 4: Simplify right side
    485.16x = 339,229.89
  5. Step 5: Solve for x
    x = 339,229.89/485.16
  6. Step 6: Final answer
    x = 699.21

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Why These Related Problems?

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