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Finding the Fourth Proportional to 485.31, 669.74 and 278.31

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Solution

The fourth proportional to 485.31, 669.74 and 278.31 is: 384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.31 : 669.74 = 278.31 : x
  2. Step 2: Convert to fraction form
    485.31/669.74 = 278.31/x
  3. Step 3: Cross multiply
    485.31x = 669.74 × 278.31
  4. Step 4: Simplify right side
    485.31x = 186,395.62
  5. Step 5: Solve for x
    x = 186,395.62/485.31
  6. Step 6: Final answer
    x = 384.07

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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.