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Finding the Fourth Proportional to 355.39, 489.72 and 293.02

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Solution

The fourth proportional to 355.39, 489.72 and 293.02 is: 403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.39 : 489.72 = 293.02 : x
  2. Step 2: Convert to fraction form
    355.39/489.72 = 293.02/x
  3. Step 3: Cross multiply
    355.39x = 489.72 × 293.02
  4. Step 4: Simplify right side
    355.39x = 143,497.75
  5. Step 5: Solve for x
    x = 143,497.75/355.39
  6. Step 6: Final answer
    x = 403.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.