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Finding the Fourth Proportional to 824.95, 1,237.60 and 239.96

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Solution

The fourth proportional to 824.95, 1,237.60 and 239.96 is: 359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.95 : 1,237.60 = 239.96 : x
  2. Step 2: Convert to fraction form
    824.95/1,237.60 = 239.96/x
  3. Step 3: Cross multiply
    824.95x = 1,237.60 × 239.96
  4. Step 4: Simplify right side
    824.95x = 296,968.31
  5. Step 5: Solve for x
    x = 296,968.31/824.95
  6. Step 6: Final answer
    x = 359.99

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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.