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Finding the Fourth Proportional to 324.59, 485.85 and 256.24

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Solution

The fourth proportional to 324.59, 485.85 and 256.24 is: 383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.59 : 485.85 = 256.24 : x
  2. Step 2: Convert to fraction form
    324.59/485.85 = 256.24/x
  3. Step 3: Cross multiply
    324.59x = 485.85 × 256.24
  4. Step 4: Simplify right side
    324.59x = 124,494.20
  5. Step 5: Solve for x
    x = 124,494.20/324.59
  6. Step 6: Final answer
    x = 383.54

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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.