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Finding the Fourth Proportional to 485.68, 669.64 and 338.16

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Solution

The fourth proportional to 485.68, 669.64 and 338.16 is: 466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.68 : 669.64 = 338.16 : x
  2. Step 2: Convert to fraction form
    485.68/669.64 = 338.16/x
  3. Step 3: Cross multiply
    485.68x = 669.64 × 338.16
  4. Step 4: Simplify right side
    485.68x = 226,445.46
  5. Step 5: Solve for x
    x = 226,445.46/485.68
  6. Step 6: Final answer
    x = 466.24

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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.