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Finding the Fourth Proportional to 485.88, 669.80 and 345.54

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Solution

The fourth proportional to 485.88, 669.80 and 345.54 is: 476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.88 : 669.80 = 345.54 : x
  2. Step 2: Convert to fraction form
    485.88/669.80 = 345.54/x
  3. Step 3: Cross multiply
    485.88x = 669.80 × 345.54
  4. Step 4: Simplify right side
    485.88x = 231,442.69
  5. Step 5: Solve for x
    x = 231,442.69/485.88
  6. Step 6: Final answer
    x = 476.34

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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.