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Finding the Fourth Proportional to 485.16, 669.12 and 397.68

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Solution

The fourth proportional to 485.16, 669.12 and 397.68 is: 548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.16 : 669.12 = 397.68 : x
  2. Step 2: Convert to fraction form
    485.16/669.12 = 397.68/x
  3. Step 3: Cross multiply
    485.16x = 669.12 × 397.68
  4. Step 4: Simplify right side
    485.16x = 266,095.64
  5. Step 5: Solve for x
    x = 266,095.64/485.16
  6. Step 6: Final answer
    x = 548.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.