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Finding the Fourth Proportional to 485.38, 669.86 and 278.38

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Solution

The fourth proportional to 485.38, 669.86 and 278.38 is: 384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.38 : 669.86 = 278.38 : x
  2. Step 2: Convert to fraction form
    485.38/669.86 = 278.38/x
  3. Step 3: Cross multiply
    485.38x = 669.86 × 278.38
  4. Step 4: Simplify right side
    485.38x = 186,475.63
  5. Step 5: Solve for x
    x = 186,475.63/485.38
  6. Step 6: Final answer
    x = 384.18

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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.