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Finding the Fourth Proportional to 324.68, 487.20 and 256.20

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Solution

The fourth proportional to 324.68, 487.20 and 256.20 is: 384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.68 : 487.20 = 256.20 : x
  2. Step 2: Convert to fraction form
    324.68/487.20 = 256.20/x
  3. Step 3: Cross multiply
    324.68x = 487.20 × 256.20
  4. Step 4: Simplify right side
    324.68x = 124,820.64
  5. Step 5: Solve for x
    x = 124,820.64/324.68
  6. Step 6: Final answer
    x = 384.44

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