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Finding the Fourth Proportional to 324.51, 486.16 and 288.06

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Solution

The fourth proportional to 324.51, 486.16 and 288.06 is: 431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.51 : 486.16 = 288.06 : x
  2. Step 2: Convert to fraction form
    324.51/486.16 = 288.06/x
  3. Step 3: Cross multiply
    324.51x = 486.16 × 288.06
  4. Step 4: Simplify right side
    324.51x = 140,043.25
  5. Step 5: Solve for x
    x = 140,043.25/324.51
  6. Step 6: Final answer
    x = 431.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.