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Finding the Fourth Proportional to 484.66, 668.61 and 288.16

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Solution

The fourth proportional to 484.66, 668.61 and 288.16 is: 397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.66 : 668.61 = 288.16 : x
  2. Step 2: Convert to fraction form
    484.66/668.61 = 288.16/x
  3. Step 3: Cross multiply
    484.66x = 668.61 × 288.16
  4. Step 4: Simplify right side
    484.66x = 192,666.66
  5. Step 5: Solve for x
    x = 192,666.66/484.66
  6. Step 6: Final answer
    x = 397.53

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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.