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Finding the Fourth Proportional to 484.71, 668.68 and 288.11

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Solution

The fourth proportional to 484.71, 668.68 and 288.11 is: 397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.71 : 668.68 = 288.11 : x
  2. Step 2: Convert to fraction form
    484.71/668.68 = 288.11/x
  3. Step 3: Cross multiply
    484.71x = 668.68 × 288.11
  4. Step 4: Simplify right side
    484.71x = 192,652.21
  5. Step 5: Solve for x
    x = 192,652.21/484.71
  6. Step 6: Final answer
    x = 397.46

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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.