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Finding the Fourth Proportional to 357.84, 535.80 and 280.38

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Solution

The fourth proportional to 357.84, 535.80 and 280.38 is: 419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.84 : 535.80 = 280.38 : x
  2. Step 2: Convert to fraction form
    357.84/535.80 = 280.38/x
  3. Step 3: Cross multiply
    357.84x = 535.80 × 280.38
  4. Step 4: Simplify right side
    357.84x = 150,227.60
  5. Step 5: Solve for x
    x = 150,227.60/357.84
  6. Step 6: Final answer
    x = 419.82

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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.