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Finding the Fourth Proportional to 674.48, 1,011.40 and 235.60

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Solution

The fourth proportional to 674.48, 1,011.40 and 235.60 is: 353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.48 : 1,011.40 = 235.60 : x
  2. Step 2: Convert to fraction form
    674.48/1,011.40 = 235.60/x
  3. Step 3: Cross multiply
    674.48x = 1,011.40 × 235.60
  4. Step 4: Simplify right side
    674.48x = 238,285.84
  5. Step 5: Solve for x
    x = 238,285.84/674.48
  6. Step 6: Final answer
    x = 353.29

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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.