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Finding the Fourth Proportional to 484.81, 669.09 and 288.32

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Solution

The fourth proportional to 484.81, 669.09 and 288.32 is: 397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.81 : 669.09 = 288.32 : x
  2. Step 2: Convert to fraction form
    484.81/669.09 = 288.32/x
  3. Step 3: Cross multiply
    484.81x = 669.09 × 288.32
  4. Step 4: Simplify right side
    484.81x = 192,909.76
  5. Step 5: Solve for x
    x = 192,909.76/484.81
  6. Step 6: Final answer
    x = 397.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.