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Finding the Fourth Proportional to 324.64, 484.36 and 297.64

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Solution

The fourth proportional to 324.64, 484.36 and 297.64 is: 444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.64 : 484.36 = 297.64 : x
  2. Step 2: Convert to fraction form
    324.64/484.36 = 297.64/x
  3. Step 3: Cross multiply
    324.64x = 484.36 × 297.64
  4. Step 4: Simplify right side
    324.64x = 144,164.91
  5. Step 5: Solve for x
    x = 144,164.91/324.64
  6. Step 6: Final answer
    x = 444.08

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