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Finding the Fourth Proportional to 484.04, 668.16 and 284.96

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Solution

The fourth proportional to 484.04, 668.16 and 284.96 is: 393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.04 : 668.16 = 284.96 : x
  2. Step 2: Convert to fraction form
    484.04/668.16 = 284.96/x
  3. Step 3: Cross multiply
    484.04x = 668.16 × 284.96
  4. Step 4: Simplify right side
    484.04x = 190,395.53
  5. Step 5: Solve for x
    x = 190,395.53/484.04
  6. Step 6: Final answer
    x = 393.35

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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.