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Finding the Fourth Proportional to 485.13, 669.62 and 288.77

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Solution

The fourth proportional to 485.13, 669.62 and 288.77 is: 398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.13 : 669.62 = 288.77 : x
  2. Step 2: Convert to fraction form
    485.13/669.62 = 288.77/x
  3. Step 3: Cross multiply
    485.13x = 669.62 × 288.77
  4. Step 4: Simplify right side
    485.13x = 193,368.56
  5. Step 5: Solve for x
    x = 193,368.56/485.13
  6. Step 6: Final answer
    x = 398.59

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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.