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Finding the Fourth Proportional to 824.24, 1,235.96 and 355.64

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Solution

The fourth proportional to 824.24, 1,235.96 and 355.64 is: 533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.24 : 1,235.96 = 355.64 : x
  2. Step 2: Convert to fraction form
    824.24/1,235.96 = 355.64/x
  3. Step 3: Cross multiply
    824.24x = 1,235.96 × 355.64
  4. Step 4: Simplify right side
    824.24x = 439,556.81
  5. Step 5: Solve for x
    x = 439,556.81/824.24
  6. Step 6: Final answer
    x = 533.29

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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.