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Finding the Fourth Proportional to 388.62, 581.64 and 296.79

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Solution

The fourth proportional to 388.62, 581.64 and 296.79 is: 444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.62 : 581.64 = 296.79 : x
  2. Step 2: Convert to fraction form
    388.62/581.64 = 296.79/x
  3. Step 3: Cross multiply
    388.62x = 581.64 × 296.79
  4. Step 4: Simplify right side
    388.62x = 172,624.94
  5. Step 5: Solve for x
    x = 172,624.94/388.62
  6. Step 6: Final answer
    x = 444.20

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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.