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Finding the Fourth Proportional to 485.28, 728.73 and 398.61

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Solution

The fourth proportional to 485.28, 728.73 and 398.61 is: 598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.28 : 728.73 = 398.61 : x
  2. Step 2: Convert to fraction form
    485.28/728.73 = 398.61/x
  3. Step 3: Cross multiply
    485.28x = 728.73 × 398.61
  4. Step 4: Simplify right side
    485.28x = 290,479.07
  5. Step 5: Solve for x
    x = 290,479.07/485.28
  6. Step 6: Final answer
    x = 598.58

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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.