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Finding the Fourth Proportional to 324.16, 484.10 and 246.64

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Solution

The fourth proportional to 324.16, 484.10 and 246.64 is: 368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 484.10 = 246.64 : x
  2. Step 2: Convert to fraction form
    324.16/484.10 = 246.64/x
  3. Step 3: Cross multiply
    324.16x = 484.10 × 246.64
  4. Step 4: Simplify right side
    324.16x = 119,398.42
  5. Step 5: Solve for x
    x = 119,398.42/324.16
  6. Step 6: Final answer
    x = 368.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.