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Finding the Fourth Proportional to 355.39, 489.65 and 296.16

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Solution

The fourth proportional to 355.39, 489.65 and 296.16 is: 408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.39 : 489.65 = 296.16 : x
  2. Step 2: Convert to fraction form
    355.39/489.65 = 296.16/x
  3. Step 3: Cross multiply
    355.39x = 489.65 × 296.16
  4. Step 4: Simplify right side
    355.39x = 145,011.43
  5. Step 5: Solve for x
    x = 145,011.43/355.39
  6. Step 6: Final answer
    x = 408.04

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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.